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  • Essential and Recommended for the selected books on the final list.
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 6. Topology
    Algebraic, differential and geometric topology. Floer and gauge theories. Low-dimensional including
    knot theory and connections with Kleinian groups and Teichmüller theory. Symplectic and contact manifolds.
    Topological quantum field theories. 
    Connections with sections 2, 4, 5, 7, 8, 9, 12.

Main List

  • To add: books by Thurston, Eliashberg, Hall, Nicolaev, Godbilon, Imayoshi, Paternian, Camacho, Lee, ...

Introductory Books.

General Introductions .

Prasolov V V. Intuitive Topology. American Mathematical Society 1995. $20 MN -- General Introduction, give an idea of what topology is about, aimed at a general audience, without much in the way of prerequisites

** Weeks, Jeffrey R. The Shape of Space: How to Visualize Surfaces and Three-Dimensional Manifolds New York, NY: Marcel Dekker, 1985. MN -- General Introduction, give an idea of what topology is about, aimed at a general audience, without much in the way of prerequisites

Point-Set Topology.

*** Munkres, James R. Topology: A First Course Englewood Cliffs, NJ: Prentice Hall, 1975. MN

Janich, Klaus. Topology, New York, NY: Springer-Verlag, 1984. MN -- A pleasure to read. Translated to Persian

** Armstrong, M.A. Basic Topology New York, NY: Springer-Verlag, 1983, 1990. MN

Dugundji, James. Topology Boston, MA: Allyn and Bacon, 1966. A.H. -- Out of Print, A fine reference book on point-set topology

Gamelin, Theodore W.; Greene, Robert Everist Introduction to topology. Saunders Series. Saunders College Publishing, Philadelphia, Pa., 1983. xii+196 pp. ISBN 0-03-062476-2 (Reviewer: J. E. Keesling) 54-01 (55-01) MN -- Introductory Book. Point-Set Topology.

Viro, Ivanov, Kharlamov, and Netsvetaev. Elementary Topology. online A.H. -- Essentially just an outline with proofs left as exercises, but with many insightful comments. Includes also some algebraic topology and manifold theory.

* Alexandroff, Paul. Elementary Concepts of Topology Mineola, NY: Dover, 1961.

Arkhangelski i, A.V. and Pontrjagin, Lev S., eds. General Topology I: Basic Concepts and Constructions, Dimension Theory New York, NY: Springer-Verlag, 1990.

* Bing, R.H. Elementary Point Set Topology Washington, DC: Mathematical Association of America, 1960.

Bourbaki, Nicolas. Elements of Mathematics: General Topology New York, NY: Springer-Verlag, 1989.

** Chinn, William G. and Steenrod, Norman E. First Concepts of Topology Washington, DC: Mathematical Association of America, 1966.

Fuks, D.B. and Rokhlin, V.A. Beginner's Course in Topology: Geometric Chapters New York, NY: Springer-Verlag, 1984.

Gemignani, Michael C. Elementary Topology, Mineola, NY: Dover, 1990. Second Edition.

Hausdorff, Felix. Set Theory, New York, NY: Chelsea, 1957, 1978. Third Edition.

Hurewicz, Witold and Wallman, Henry. Dimension Theory Princeton, NJ: Princeton University Press, 1941.

* Kaplansky, Irving. Set Theory and Metric Spaces, New York, NY: Chelsea, 1977. Second Edition.

* Kelley, John L. General Topology, New York, NY: Springer-Verlag, 1975.

Kuratowski, K. Topology, New York, NY: Academic Press, 1966, 1969. 2 Vols.

Newman, M.H.A. Elements of the Topology of Plane Sets of Points New York, NY: Cambridge University Press, 1964.

** Oxtoby, John C. Measure and Category: A Survey of the Analogies between Topological and Measure Spaces, New York, NY: Springer-Verlag, 1980. Second Edition. MN

Sierpinski, W. General Topology Toronto: University of Toronto Press, 1952.

* Simmons, George F. Introduction to Topology and Modern Analysis Melbourne, FL: Robert E. Krieger, 1983.

* Steen, Lynn Arthur and Seebach, J. Arthur, Jr. Counterexamples in Topology, New York, NY: Springer-Verlag, 1978. Second Edition. MN

Sutherland, W.A. Introduction to Metric and Topological Spaces New York, NY: Clarendon Press, 1975.

** Willard, Stephen. General Topology Reading, MA: Addison-Wesley, 1970.

Algebraic Topology.


Hatcher, Allen Algebraic topology. (English. English summary) Cambridge University Press, Cambridge, 2002. xii+544 pp. \$90.00; \$29.95 paperbound. ISBN 0-521-79160-X; 0-521-79540-0 Free electronic version MN -- Algebraic Topology. Introductory.

Massey, William S. A basic course in algebraic topology. Graduate Texts in Mathematics, 127. Springer-Verlag, New York, 1991. xvi+428 pp. \$49.95. ISBN 0-387-97430-X MN -- Algebraic Topology. Introductory.

Rotman, Joseph J. An introduction to algebraic topology. Graduate Texts in Mathematics, 119. Springer-Verlag, New York, 1988. xiv+433 pp. \$49.80. ISBN 0-387-96678-1 MN

Massey, William S. Algebraic topology: an introduction. Reprint of the 1967 edition. Graduate Texts in Mathematics, Vol. 56. Springer-Verlag, New York-Heidelberg, 1977. xxi+261 pp. ISBN 0-387-90271-6.

May, J. P., A Concise Course in Algebraic Topology. University of Chicago Press, 1999. $18 A.H. -- Good for getting the big picture. Perhaps not so easy for a beginner.

Bott, Raoul; Tu, Loring W. Differential forms in algebraic topology. Graduate Texts in Mathematics, 82. Springer-Verlag, New York-Berlin, 1982. xiv+331 pp. \$29.80. ISBN 0-387-90613-4 MN -- Algebraic Topology. Introductory. Develops algebraic topology from the point of view of differential forms. Includes a very nice introduction to spectral sequences.

Bredon, Glen E. Topology and geometry. (English. English summary) Corrected third printing of the 1993 original. Graduate Texts in Mathematics, 139. Springer-Verlag, New York, 1997. xiv+557 pp. \$69.95. ISBN 0-387-97926-3 MN -- Algebraic Topology. Introductory. Includes basics on smooth manifolds, and even some point-set topology.

Warner, Frank W. Foundations of differentiable manifolds and Lie groups. Scott, Foresman and Co., Glenview, Ill.-London, 1971. viii+270 pp. \$9.95. MN

Vector Bundles, Characteristic Classes, and K–Theory

A Hatcher. Vector Bundles and K–Theory. Unfinished book available online MN -- to start these topics

Milnor, John W.; Stasheff, James D. Characteristic Classes. Annals of Math Studies 76. Princeton University Press, 1974. vii+331 pp. $65 A.H. -- the classical place to begin. old.

Atiyah M., K–Theory. Perseus, 1989. Originally published by W.A. Benjamin in 1967. $55 classic -- the classical introduction to K–theory

More Advanced Topics.

A Hatcher. Spectral Sequences in Algebraic Topology. Unfinished book available online MN

Adams J. F., Infinite Loop Spaces. Annals of Math Studies 90. Princeton University Press, 1978. $30 A.H.

Ravenel D C. Complex Cobordism and Stable Homotopy Groups of Spheres. Academic Press, 1986. A.H. -- Out of Print., to be reprinted by AMS.

R E Mosher and M C Tangora. Cohomology Operations and Applications in Homotopy Theory. Harper and Row, 1968. A.H. -- Out of Print.

S O Kochman. Bordism, Stable Homotopy, and Adams Spectral Sequences. Fields Institute Monographs 7. AMS, 1996. $49 A.H.

Y Rudyak. On Thom Spectra, Orientability, and Cobordism. Springer, 1998. $139 A.H.

R E Stong. Notes on Cobordism Theory. Princeton University Press, 1968. A.H. -- Out of Print. An old book emphasizing the calculations of the coefficient rings of various forms of cobordism.

D C Ravenel. Nilpotence and Periodicity in Stable Homotopy Theory. Annals of Math Studies 128. Princeton University Press, 1992. $43 A.H.

J F Adams. Stable Homotopy and Generalised Homology. University of Chicago Press, 1974. $34 A.H.

F Hirzebruch, T Berger, and R Jung. Manifolds and Modular Forms. Vieweg, 1992. A.H. -- Out of Print.? One of the few textbook sources for the slowly emerging and potentially very important topic of elliptic cohomology.

P Hilton, G Mislin, and J Roitberg. Localization of Nilpotent Groups and Spaces. North-Holland, 1975. A.H. -- Out of Print. The standard source for classical localization. The newer generalizations haven’t yet filtered down to the textbook level.

Y Felix, S Halperin, and J-C Thomas. Rational Homotopy Theory. Springer GTM 205, 2001. $60 A.H.

P A Griffiths and J W Morgan. Rational Homotopy Theory and Differential Forms. Birkhauser, 1981. A.H. -- Out of Print.

J P May. Simplicial Objects in Algebraic Topology. Van Nostrand, 1967. Reprinted by University of Chicago Press, 1982 and 1992. $20 A.H.

M Mimura and H Toda. Topology of Lie Groups. Translations of Mathematical Monographs 91. AMS, 1991. $51 A.H. -- Includes the algebraic topology proof of Bott Periodicity, as well as information about the five exceptional Lie groups.

R M Kane. The Homology of Hopf Spaces. North-Holland, 1988. $176 A.H. -- Look at that price! And it’s not even in Tex. But a nice book otherwise.

JR Harper. Secondary Cohomology Operations. AMS, 2002. $49 A.H.

J McCleary. A User’s Guide to Spectral Sequences. 2nd ed. Cambridge University Press, 2001. $37 A.H. -- A technical handbook, not as user-friendly as one might wish, and with some glaring errors, but included here in the absence of other sources.

A Adem and R J Milgram. Cohomology of Finite Groups. Springer, 1994. A.H. -- Out of Print.

D J Benson. Representations and Cohomology, Volume II: Cohomology of Groups and Modules. Cambridge University Press, 1992. $35 A.H.

W G Dwyer and H-W Henn. Homotopy Theoretic Methods in Group Cohomology. Birkh¨auser, 2001. $30 A.H. -- Two separate sets of notes for short courses by the two authors, each about 50 pages.

more books

Aleksandrov, P. Combinatorial Topology, Baltimore, MD: Graylock Press, 1956--60. 3 Vols.

* Artin, Emil. Introduction to Algebraic Topology Columbus, OH: Charles E. Merrill, 1969.

* Blackett, Donald W. Elementary Topology: A Combinatorial and Algebraic Approach, New York, NY: Academic Press, 1982.

Giblin, P.J. Graphs, Surfaces and Homology: An Introduction to Algebraic Topology, New York, NY: Chapman and Hall, 1981. Second Edition.

* Gramain, Andre. Topology of Surfaces Moscow, ID: BCS Associates, 1984.

* Greenberg, Marvin Jay and Harper, John R. Lectures on Algebraic Topology, Reading, MA: W.A. Benjamin, 1967, 1981. Second Edition.

*** Henle, Michael. A Combinatorial Introduction to Topology, New York, NY: W.H. Freeman, 1979.

* Kosniowski, Czes. A First Course in Algebraic Topology New York, NY: Cambridge University Press, 1980.

Lefschetz, Solomon. Topology, New York, NY: Chelsea, 1956. Second Edition.

Milnor, John W. Singular Points of Complex Hypersurfaces Princeton, NJ: Princeton University Press, 1968.

** Munkres, James R. Elements of Algebraic Topology Reading, MA: Addison-Wesley, 1984.

Naber, Gregory L. Topological Methods in Euclidean Spaces New York, NY: Cambridge University Press, 1980.

Pontrjagin, Lev S. Topological Groups, New York, NY: Gordon and Breach, 1966. Second Edition.

Pontrjagin, Lev S. Foundations of Combinatorial Topology Baltimore, MD: Graylock Press, 1952.

Seifert, Herbert and Threlfall, W. A Textbook of Topology New York, NY: Academic Press, 1980.

Spanier, Edwin H. Algebraic Topology New York, NY: McGraw-Hill, 1966.

* Stillwell, John. Classical Topology and Combinatorial Group Theory New York, NY: Springer-Verlag, 1980.

* Vick, James. Homology Theory: An Introduction to Algebraic Topology New York, NY: Academic Press, 1973.

Manifold Theory.

Differential Topology.

Milnor, John W. Topology from the differentiable viewpoint. (English. English summary) Based on notes by David W. Weaver. Revised reprint of the 1965 original. Princeton Landmarks in Mathematics. Princeton University Press, Princeton, NJ, 1997. xii+64 pp. \$9.95. ISBN 0-691-04833-9 MN -- Quite elementary and accessible. Just 65 pages, so only a small amount of material is covered, alas.

Hirsch, Morris W. Differential topology. (English. English summary) Corrected reprint of the 1976 original. Graduate Texts in Mathematics, 33. Springer-Verlag, New York, 1994. x+222 pp. \$39.00. ISBN 0-387-90148-5 MN

Milnor, John W. Morse theory. Based on lecture notes by M. Spivak and R. Wells. Annals of Mathematics Studies, No. 51 Princeton University Press, Princeton, N.J. 1963 vi+153 pp. $50 MN

J Milnor. Lectures on the h-Cobordism Theorem. Princeton University Press, 1965. Out of Print. A.H. -- A more specialized topic, but a cornerstone of the subject.

Y Matsumoto. An Introduction to Morse Theory. Translations of Mathematical Monographs 208. AMS, 2002. $39 A.H. -- An alternative to Milnor’s Morse Theory book that goes farther.

A A Kosinski. Differential Manifolds. Academic Press, 1993. $98 . Dover reprint, 2007. $16 A.H. -- At a somewhat more advanced level. A rather nice exposition that for some reason has never really become popular. Perhaps the price had something to do with this. Fortunately there is now an inexpensive Dover reprint.

Piecewise Linear Topology

PL topology was popular in the early days of manifold theory, but with the development of the appropriate tools in the purely topological category the PL category has fallen out of favor.

Rourke, C.P. and Sanderson, B.J. Introduction to Piecewise-Linear Topology New York, NY: Springer-Verlag, 1972. A.H. -- Out of Print. The best source for this classical subject.

Topological Manifolds

A textbook exposition is still lacking here, probably because of the technical difficulty of the subject.

R C Kirby and L C Siebenmann. Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. Annals of Math Studies 88. Princeton University Press, 1977. $45 A.H. -- an early monograph

Y Rudyak. Piecewise Linear Structures on Topological Manifolds. preprint available at arXiv:math. AT/0105047, 2001. A.H. -- a recent survey article

Wall, C.T.C. A Geometric Introduction to Topology Reading, MA: Addison-Wesley, 1972.

Surgery Theory.

Surgery theory addresses the basic problem of classifying manifolds up to homeomorphism or diffeomorphism.

S Weinberger. The Topological Classification of Stratified Spaces. University of Chicago Press, 1994. $20 A.H. -- The first 100 pages of the following book give a nice overview of Surgery theory.

A Ranicki. Algebraic and Geometric Surgery. Oxford University Press, 2002. $110 A.H. -- A more systematic exposition on surgery theory.

S Cappell, A Ranicki, and J Rosenberg, eds. Surveys on Surgery Theory. Annals of Math Studies 145. Princeton University Press, 2000. $45 A.H. -- A collection of surveys that may be helpful

W Browder. Surgery on Simply-Connected Manifolds. Springer, 1972. A.H. -- Out of Print, an original book.

C T C Wall. Surgery on Compact Manifolds, 2nd ed. AMS, 1999. $59 A.H. -- An original book. This new edition of the 1970 original adds some commentary by A Ranicki.

M A Kervaire and JW Milnor. Groups of homotopy spheres. Annals of Mathematics 77 (1963), 504-537. A.H. -- One of the classic early papers could also serve rather well to give the flavor of surgery theory

More books

Flegg, H. Graham. From Geometry to Topology Philadelphia, PA: Crane, Russak, 1974.

* Francis, George K. A Topological Picturebook New York, NY: Springer-Verlag, 1987.

* Almgren, F.J. Plateau's Problem Redwood City, CA: Benjamin Cummings, 1966.

Auslander, Louis and Mackenzie, Robert E. Introduction to Differentiable Manifolds Mineola, NY: Dover, 1977.

Brocker, Th. and Janich, Klaus. Introduction to Differential Topology New York, NY: Cambridge University Press, 1982.

Chillingworth, D.R.J. Differential Topology with a View to Applications Brooklyn, NY: Pitman, 1976.

** Guillemin, Victor and Pollack, Alan. Differential Topology Englewood Cliffs, NJ: Prentice Hall, 1974.

*** Singer, I.M. and Thorpe, John A. Lecture Notes on Elementary Topology and Geometry New York, NY: Springer-Verlag, 1987.

Symplectic Topology

Cannas da Silva, Ana Lectures on symplectic geometry. Lecture Notes in Mathematics, 1764. Springer-Verlag, Berlin, 2001. xii+217 pp. \$45.80. ISBN 3-540-42195-5

McDuff, Dusa; Salamon, Dietmar Introduction to symplectic topology. Oxford Mathematical Monographs. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1995. viii+425 pp. \$82.00. ISBN 0-19-851177-9 MN

Abraham, Ralph; Marsden, Jerrold E. Foundations of mechanics. Second edition, revised and enlarged. With the assistance of Tudor Ra\c tiu and Richard Cushman. Benjamin/Cummings Publishing Co., Inc., Advanced Book Program, Reading, Mass., 1978. xxii+m-xvi+806 pp. \$39.50. ISBN 0-8053-0102-X

Low-Dimensional Topology.


Someone should someday write a comprehensive exposition of topological surface theory!!

A J Casson and S A Bleiler. Automorphisms of Surfaces after Nielsen and Thurston. LMS Student Texts 9. Cambridge University Press, 1988. $15 A.H. -- A small fraction of the theory

W Thurston. On the geometry and dynamics of diffeomorphisms of surfaces. Bull. Amer. Math. Soc. 19 (1988), 417-431. A.H. -- an original paper worth to look.

** Firby, P.A. and Gardiner, C.F. Surface Topology New York, NY: Ellis Horwood, 1982.

* Griffiths, H.B. Surfaces, New York, NY: Cambridge University Press, 1976, 1981. Second Edition.

Moise, Edwin E. Geometric Topology in Dimensions 2 and 3 New York, NY: Springer-Verlag, 1977.


W Thurston. Three-Dimensional Geometry and Topology. Princeton University Press, 1997. $55 A.H. -- A geometric introduction by the master. Also useful for the geometry of surfaces.

A Hatcher. Basic Topology of 3-Manifolds. Unpublished notes available online MN -- The more classical topological aspects of 3-manifold theory.

J Hempel. 3-Manifolds. Annals of Math Studies 86. Princeton University Press, 1976. $30 A.H.

P Scott. Geometries of 3-manifolds. Bull. London Math. Soc. 15: 401-487, 1983. A.H. -- A clear presentation of seven of Thurston’s eight possible geometric structures on 3-manifolds, all but hyperbolic geometry, the most subtle case by far.

N Saveliev. Invariants for Homology 3-Spheres. Springer, 2002. $99 A.H.

M Kapovich. Hyperbolic Manifolds and Discrete Groups. Birkhauser, 2001. $77 A.H.

* Montesinos, Jose Maria. Classical Tessellations and Three-Manifolds New York, NY: Springer-Verlag, 1987.

Knot Theory.

This is a very accessible topic and there are plenty of readable books. The following ones are listed more or less in order of increasing sophistication.

C C Adams. The Knot Book. W.H. Freeman, 1994. $17 A.H.

C Livingston. Knot Theory. Carus Mathematical Monographs 24. Mathematical Association of America, 1993. $40 A.H.

J Roberts. Knots Knotes. online pdf A.H.

D Rolfsen. Knots and Links. Publish or Perish, 1976. Recently reprinted by the AMS. A.H. -- For a long time the standard textbook, noteworthy for its readability and nice pictures.Still useful for the more classical theory.

W B R Lickorish. An Introduction to Knot Theory. Springer GTM 175, 1997. $53 A.H.

V V Prasolov and A B Sossinsky. Knots, Links, Braids and 3-Manifolds. Translations of Mathematical Monographs 154. AMS, 1997. $51 A.H. -- Covers also some general 3-manifold theory relevant to knot theory. Emphasizes ideas and intuition.

G Burde and H Zieschang. Knots. 2nd ed. de Gruyter, 2003. $98 A.H.

A Kawauchi. A Survey of Knot Theory. Birkh¨auser, 1996. $99 A.H.

* Atiyah, Michael F. The Geometry and Physics of Knots New York, NY: Cambridge University Press, 1990.

Burde, Gerhard and Zieschang, Heiner. Knots Hawthorne, NY: Walter de Gruyter, 1985.

* Crowell, Richard H. and Fox, Ralph H. Introduction to Knot Theory New York, NY: Springer-Verlag, 1977.

Reidemeister, K. Knot Theory Moscow, ID: BCS Associates, 1983.

** Rolfsen, Dale. Knots and Links, Boston, MA: Publish or Perish, 1976, 1991. Second Edition.

Kauffman, Louis H. On Knots Princeton, NJ: Princeton University Press, 1987.


Topology is only part of the story here.

M H Freedman and F Quinn. Topology of 4-Manifolds. Princeton University Press, 1990. A.H. -- Out of Print. Topological view point.

R E Gompf and A I Stipsicz. 4-Manifolds and Kirby Calculus. AMS, 1999. $65 A.H. -- Topological view point.


Freedman, M.H. and Luo, Feng. Selected Applications of Geometry to Low-Dimensional Topology Providence, RI: American Mathematical Society, 1990.


J Matousek. Using the Borsuk-Ulam Theorem. Springer, 2003 $50 A.H. -- A whole book on this classic theorem and its many varied applications in geometry and combinatorics. Highly readable and highly recommended.

J Dieudonne. A History of Algebraic and Differential Topology 1900-1960. Birkh¨auser, 1989. A.H. -- More than just a history, it also explains the major ideas as they were first developed.

I M James, ed. History of Topology. North-Holland, 1999. $178 A.H. -- super-expensive

I M James, ed. Handbook of Algebraic Topology. North-Holland, 1995. $222 A.H. -- super-expensive

R J Daverman and R B Sher, eds. Handbook of Geometric Topology. North-Holland, 2002. $175 A.H. -- super-expensive

S Eilenberg and N Steenrod. Foundations of Algebraic Topology. Princeton University Press, 1952. classic -- of historical interest. The first book to give the axiomatic viewpoint toward homology and cohomology theory.

E H Spanier. Algebraic Topology. McGraw-Hill, 1966. Reprinted by Springer. $50 classic -- of historical interest. The standard reference up until the past decade or so when other more accessible and up to date books began to appear.

P J Hilton and S Wylie. Homology Theory. Cambridge University Press, 1967. classic -- of historical interest. One of the standard expositions of homology and cohomology from its time. Contains some interesting unsuccessful attempts at reforming terminology and notation.

N Steenrod. The Topology of Fiber Bundles. Princeton University Press, 1951. $28 classic -- of historical interest. The original exposition of this basic topic. Still quite readable.

More books

The following books received highly positive reviews in MR (MSC Primary=(54) or (55) or (56) or (57)).

Please mark the books which are listed above

MR2033142 (2005b:54001) Preuss, Gerhard Foundations of topology. An approach to convenient topology. Kluwer Academic Publishers, Dordrecht, 2002. xviii+303 pp. ISBN 1-4020-0891-0 54-01

MR1925171 (2003i:54040) Nadler, Sam B., Jr. Dimension theory: an introduction with exercises. Aportaciones Matemáticas: Textos [Mathematical Contributions: Texts], 18. Sociedad Matemática Mexicana, México, 2002. viii+180 pp. ISBN 970-32-0026-5 (Reviewer: Leonard R. Rubin) 54F45 (55M10)

MR1039321 (91c:54001) Engelking, Ryszard General topology. Translated from the Polish by the author. Second edition. Sigma Series in Pure Mathematics, 6. Heldermann Verlag, Berlin, 1989. viii+529 pp. ISBN 3-88538-006-4 (Reviewer: Gary Gruenhage) 54-01 (54-02)

MR0991746 (90f:54001b) Köhnen, Walter Lösungen der Aufgaben des Buches Metrische Räume. (German) [Solutions to the problems in the book Metric spaces] Academia Verlag Richarz GmbH, Sankt Augustin, 1988. viii+151 pp. ISBN 3-88345-663-2 (Reviewer: B. T. Sims) 54-01 (54E35)

MR0937052 (89m:54014) Preuss, Gerhard Theory of topological structures. An approach to categorical topology. Mathematics and its Applications, 39. D. Reidel Publishing Co., Dordrecht, 1988. xii+304 pp. ISBN 90-277-2627-2 (Reviewer: H. L. Bentley) 54B30 (18B30 54-02 54Bxx 54E17)

MR0696379 (84h:54001) Gamelin, Theodore W.; Greene, Robert Everist Introduction to topology. Saunders Series. Saunders College Publishing, Philadelphia, Pa., 1983. xii+196 pp. ISBN 0-03-062476-2 (Reviewer: J. E. Keesling) 54-01 (55-01) recommended -- Introductory Book. Point-Set Topology. Listed above.

MR0604360 (82i:54001) Engelking, Ryszard; Sieklucki, Karol Geometria i topologia. Cz\polhk eść II. (Polish) [Geometry and topology. Part II] Topologia. [Topology] Biblioteka Matematyczna [Mathematics Library], 54. Państwowe Wydawnictwo Naukowe (PWN), Warsaw, 1980. 388 pp. ISBN 83-01-01371-0 (Reviewer: W. Kuperberg) 54-01 (55-01)

MR0520227 (80h:54020) Dydak, Jerzy; Segal, Jack Shape theory. An introduction. Lecture Notes in Mathematics, 688. Springer, Berlin, 1978. vi+150 pp. ISBN 3-540-08955-1 (Reviewer: S. Mardešić) 54C56 (54-02 55-02 55P55)

MR0482697 (58 #2753b) Engelking, Ryszard Dimension theory. Translated from the Polish and revised by the author. North-Holland Mathematical Library, 19. North-Holland Publishing Co., Amsterdam-Oxford-New York; PWN---Polish Scientific Publishers, Warsaw, 1978. x+314 pp. (loose errata). ISBN 0-444-85176-3 (Reviewer: Teodor Przymusinski) 54FXX

MR0474162 (57 #13812) Császár, Ákos General topology. Translated from the Hungarian by Klára Császár. Adam Hilger Ltd., Bristol, 1978. 488 pp. ISBN 0-85274-275-4 (Reviewer: B. T. Sims) 54-01

MR0500780 (58 #18316b) Engelking, Ryszard General topology. Translated from the Polish by the author. Monografie Matematyczne, Tom 60. [Mathematical Monographs, Vol. 60] PWN---Polish Scientific Publishers, Warsaw, 1977. 626 pp. (errata insert). (Reviewer: Eric K. van Douwen) 54-02

MR0415586 (54 #3671) de Vries, J. Topological transformation groups. 1. A categorical approach. Mathematical Centre Tracts, No. 65. Mathematisch Centrum, Amsterdam, 1975. v+251 pp. (1 foldout). (Reviewer: K. H. Hofmann) 54H15 (54H20 22D12)

MR0410616 (53 #14364) Kahn, Donald W. Topology. An introduction to the point-set and algebraic areas. Williams & Wilkins Co., Baltimore, Md., 1975. viii+211 pp. (Reviewer: John G. Hocking) 54-01 (55-01)

MR0467717 (57 #7570) Smart, D. R. Fixed point theorems. Cambridge Tracts in Mathematics, No. 66. Cambridge University Press, London-New York, 1974. viii+93 pp. (Reviewer: L. Janos) 54H25 (47H15)

MR0390985 (52 #11808) Alò, Richard A.; Shapiro, Harvey L. Normal topological spaces. Cambridge Tracts in Mathematics, No. 65. Cambridge University Press, New York-London, 1974. xii+306 pp. (Reviewer: James C. Smith) 54-02 (54D15 54E15 54C45)

MR0380698 (52 #1595) Walker, Russell C. The Stone-Čech compactification. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 83. Springer-Verlag, New York-Berlin, 1974. x+332 pp. (Reviewer: W. W. Comfort) 54-02 (54CXX 54DXX)

MR0278261 (43 #3992) Naimpally, S. A.; Warrack, B. D. Proximity spaces. Cambridge Tracts in Mathematics and Mathematical Physics, No. 59 Cambridge University Press, London-New York 1970 x+128 pp. (Reviewer: Eugene F. Steiner) 54.30

MR0267561 (42 #2463) Ellis, Robert Lectures on topological dynamics. W. A. Benjamin, Inc., New York 1969 xv+211 pp. (Reviewer: J. Auslander) 54.82

MR0236857 (38 #5151) McCarty, George Topology. An introduction, with application to topological groups. McGraw-Hill Book Co., New York-Toronto, Ont.-London 1967 xiii+270 pp. (Reviewer: B. J. Ball) 54.00 (22.00)

MR0215274 (35 #6116) Lelek, Andrzej Zbiory. (Polish) [Sets] Biblioteczka Matematyczna, Tom 26 Państwowe Zaklady Wydawnictw Szkolnych, Warsaw 1966 259 pp. (Reviewer: J. Mycielski) 54.00 (55.00)

MR0219042 (36 #2125) Nachbin, Leopoldo Topology and order. Translated from the Portuguese by Lulu Bechtolsheim. Van Nostrand Mathematical Studies, No. 4 D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London 1965 vi+122 pp. (Reviewer: D. R. Brown) 54.56 (06.00)

MR0220252 (36 #3318) Maurice, M. A. Compact ordered spaces. Mathematical Centre Tracts, 6 Mathematisch Centrum, Amsterdam 1964 76 pp. (Reviewer: D. R. Brown) 54.56 (06.00)

MR0184187 (32 #1660) Choquet, Gustave Cours d'analyse. Tome II: Topologie. Espaces topologiques et espaces métriques. Fonctions numériques. Espaces vectoriels topologiques. (French) Masson et Cie, Editeurs, Paris 1964 xi+310 pp. (Reviewer: Ky Fan) 54.00

MR0177380 (31 #1643) Hu, Sze-tsen Elements of general topology. Holden-Day, Inc., San Francisco, Calif.-London-Amsterdam 1964 x+214 pp. (Reviewer: L. F. McAuley) 54.20

MR0170323 (30 #561) Isbell, J. R. Uniform spaces. Mathematical Surveys, No. 12 American Mathematical Society, Providence, R.I. 1964 xi+175 pp. (Reviewer: M. A. Geraghty) 54.30

MR0164312 (29 #1609) Mendelson, Bert Introduction to topology. College Mathematics Series Allyn and Bacon, Inc., Boston, Mass. 1962 ix+217 pp. (Reviewer: J. Mayer-Kalkschmidt) 54.00

MR0155279 (27 #5214) Kuratowski, Kazimierz Wst\polhk ep do teorii mnogości i topologii. (Polish) [Introduction to the theory of sets and topology] Second improved edition Państwowe Wydawnictwo Naukowe, Warsaw 1962 254 pp. (Reviewer: A. Lelek) 54.00

MR0137090 (25 #546) Arnold, B. H. Intuitive concepts in elementary topology. Prentice-Hall, Inc., Englewood Cliffs, N.J. 1962 x+182 pp. (Reviewer: S. S. Cairns) 54.00

MR0141067 (25 #4480) Bourbaki, N. Éléments de mathématique. Première partie. (Fascicule II.) Livre III: Topologie générale. Chapitre 1: Structures topologiques. Chapitre. 2: Structures uniformes. (French) Troisiéme édition entiérement refondue. Actualités Sci. Indust., No. 1142. Hermann, Paris 1961 263 pp. (2 inserts). (Reviewer: E. Michael) 54.00

MR2403898 (2009a:55006) Félix, Yves; Oprea, John; Tanré, Daniel Algebraic models in geometry. Oxford Graduate Texts in Mathematics, 17. Oxford University Press, Oxford, 2008. xxii+460 pp. ISBN 978-0-19-920651-3 (Reviewer: Samuel B. Smith) 55P62 (53-02 53C22 53D35 55-02)

MR2286904 (2007j:55007) Banagl, M. Topological invariants of stratified spaces. Springer Monographs in Mathematics. Springer, Berlin, 2007. xii+259 pp. ISBN 978-3-540-38585-1; 3-540-38585-1 (Reviewer: Laurentiu G. Maxim) 55N33 (32S60)

MR2189944 (2006i:55003) Jezierski, Jerzy; Marzantowicz, Wacƚaw Homotopy methods in topological fixed and periodic points theory. Topological Fixed Point Theory and Its Applications, 3. Springer, Dordrecht, 2006. xii+319 pp. ISBN 978-1-4020-3930-1; 1-4020-3930-1 (Reviewer: Michael R. Kelly) 55M20 (37C25)

MR1990857 (2004e:55001) Cornea, Octav; Lupton, Gregory; Oprea, John; Tanré, Daniel Lusternik-Schnirelmann category. Mathematical Surveys and Monographs, 103. American Mathematical Society, Providence, RI, 2003. xviii+330 pp. ISBN 0-8218-3403-5 (Reviewer: Samuel B. Smith) 55M30 (53D35 55P62 55Q25 57R17)

MR1988723 (2004i:55001) Matoušek, Jiří Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler. Universitext. Springer-Verlag, Berlin, 2003. xii+196 pp. ISBN 3-540-00362-2 (Reviewer: Zdzisƚaw Dzedzej) 55-01 (05-01 52-01 52A35 55M20)

MR1913285 (2004c:55035) Harper, John R. Secondary cohomology operations. Graduate Studies in Mathematics, 49. American Mathematical Society, Providence, RI, 2002. xii+268 pp. ISBN 0-8218-3198-4 (Reviewer: Lionel Schwartz) 55S20 (55-01 55R20 55S10)

MR1908260 (2003c:55001) Aguilar, Marcelo; Gitler, Samuel; Prieto, Carlos Algebraic topology from a homotopical viewpoint. Translated from the Spanish by Stephen Bruce Sontz. Universitext. Springer-Verlag, New York, 2002. xxx+478 pp. ISBN 0-387-95450-3 (Reviewer: Donald M. Davis) 55-01

MR1867354 (2002k:55001) Hatcher, Allen Algebraic topology. Cambridge University Press, Cambridge, 2002. xii+544 pp. ISBN 0-521-79160-X; 0-521-79540-0 (Reviewer: Donald W. Kahn) 55-01 (55-00)

MR1711612 (2001d:55012) Goerss, Paul G.; Jardine, John F. Simplicial homotopy theory. Progress in Mathematics, 174. Birkhäuser Verlag, Basel, 1999. xvi+510 pp. ISBN 3-7643-6064-X (Reviewer: R. M. Vogt) 55U10 (18G55 55-01 55Pxx)

MR1643155 (99g:55001) Alexandrov, P. S. Combinatorial topology. Vol. 1, 2 and 3. Translated from the Russian. Reprint of the 1956, 1957 and 1960 translations. Dover Publications, Inc., Mineola, NY, 1998. 650 pp. ISBN 0-486-40179-0 55-01 (01A60 54-01)

MR1627486 (99f:55001) Rudyak, Yuli B. On Thom spectra, orientability, and cobordism. With a foreword by Haynes Miller. Springer Monographs in Mathematics. Springer-Verlag, Berlin, 1998. xii+587 pp. ISBN 3-540-62043-5 (Reviewer: Donald M. Davis) 55-02 (55N22 55P42 57-02)

MR1643926 (2000g:55001) Vasilʹev, V. A. {\cyr Vvedenie v topologiyu}. (Russian) [Introduction to topology] {\cyr Biblioteka Studenta-Matematika} [Undergraduate Mathematics Library], 3. Izdatelʹstvo FAZIS, Moscow, 1997. xii+127 pp. ISBN 5-7036-0036-7 (Reviewer: Jerzy Dydak) 55-02 (57-02)

MR1464944 (98k:55021) Kamps, K. H.; Porter, T. Abstract homotopy and simple homotopy theory. World Scientific Publishing Co., Inc., River Edge, NJ, 1997. x+462 pp. ISBN 981-02-1602-5 (Reviewer: Donald M. Davis) 55U35

MR1347447 (96g:55001) Aubry, Marc Homotopy theory and models. Based on lectures held at a DMV seminar in Blaubeuren by H. J. Baues, S. Halperin and J.-M. Lemaire. DMV Seminar, 24. Birkhäuser Verlag, Basel, 1995. x+117 pp. ISBN 3-7643-5185-3 (Reviewer: Antonio Gómez-Tato) 55-02 (55P15 55P30 55P62)

MR1268184 (95b:55001) Algebraic topology and its applications. Edited by G. E. Carlsson, R. L. Cohen, W. C. Hsiang and J. D. S. Jones. Mathematical Sciences Research Institute Publications, 27. Springer-Verlag, New York, 1994. viii+267 pp. ISBN 0-387-94098-7 (Reviewer: A. A. Ranicki) 55-06 (57-06)

MR1206474 (93m:55025) May, J. Peter Simplicial objects in algebraic topology. Reprint of the 1967 original. Chicago Lectures in Mathematics. University of Chicago Press, Chicago, IL, 1992. viii+161 pp. ISBN 0-226-51181-2 (Reviewer: Donald M. Davis) 55U10

MR0755006 (85m:55001) Munkres, James R. Elements of algebraic topology. Addison-Wesley Publishing Company, Menlo Park, CA, 1984. ix+454 pp. ISBN 0-201-04586-9 (Reviewer: Christopher W. Stark) 55-01

MR0698075 (85e:55001) Osborn, Howard Vector bundles. Vol. 1. Foundations and Stiefel\mhy Whitney classes. Pure and Applied Mathematics, 101. Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1982. xii+371 pp. ISBN 0-12-529301-1 (Reviewer: Jože Vrabec) 55-01 (55R25 57-01 57R20)

MR0655040 (83j:55005) Wilson, W. Stephen Brown\mhy Peterson homology: an introduction and sampler. CBMS Regional Conference Series in Mathematics, 48. Conference Board of the Mathematical Sciences, Washington, D.C., 1982. v+86 pp. ISBN 0-8219-1699-3 (Reviewer: Franklin P. Peterson) 55N22 (55P20 55P42 55Q45 55S25)

MR0478127 (57 #17616) Croom, Fred H. Basic concepts of algebraic topology. Undergraduate Texts in Mathematics. Springer-Verlag, New York-Heidelberg, 1978. x+177 pp. ISBN 0-387-90288-0 (Reviewer: Jerrold W. Grossman) 55-01

MR0494077 (58 #13008) May, J. Peter $E\sb{\infty }$ ring spaces and $E\sb{\infty }$ ring spectra. With contributions by Frank Quinn, Nigel Ray, and Jørgen Tornehave. Lecture Notes in Mathematics, Vol. 577. Springer-Verlag, Berlin-New York, 1977. 268 pp. (Reviewer: J. Stasheff) 55D35

MR0410732 (53 #14478) Todd, Michael J. The computation of fixed points and applications. Lecture Notes in Economics and Mathematical Systems, Vol. 124. Springer-Verlag, Berlin-New York, 1976. vii+129 pp. (Reviewer: Romesh Saigal) 55C20 (90C30)

MR0415602 (54 #3685) Dold, A. Lectures on algebraic topology. (German) Die Grundlehren der mathematischen Wissenschaften, Band 200. Springer-Verlag, New York-Berlin, 1972. xi+377 pp. (Reviewer: Soon-Kyu Kim) 55-02

MR0309097 (46 #8208) Whitehead, George W. Recent advances in homotopy theory. Conference Board of the Mathematical Sciences Regional Conference Series in Mathematics, No. 5. American Mathematical Society, Providence, R.I., 1970. iv+82 pp. (Reviewer: J. F. Adams) 55-02

MR0270372 (42 #5261) Stasheff, James $H$-spaces from a homotopy point of view. Lecture Notes in Mathematics, Vol. 161 Springer-Verlag, Berlin-New York 1970 v+95 pp. (Reviewer: Larry Smith) 55.40

MR0222893 (36 #5943) de Rham, G.; Maumary, S.; Kervaire, M. A. Torsion et type simple d'homotopie. (French) Exposés faits au séminaire de Topologie de l'Université de Lausanne. Lecture Notes in Mathematics, No. 48 Springer-Verlag, Berlin-New York 1967 iii+101 pp. (Reviewer: J. F. Adams) 55.40

MR0221500 (36 #4552) Bredon, Glen E. Sheaf theory. McGraw-Hill Book Co., New York-Toronto, Ont.-London 1967 xi+272 pp. (Reviewer: J. W. Gray) 55.32 (18.00)

MR0203733 (34 #3582) Thomas, Emery Seminar on fiber spaces. Lectures delivered in 1964 in Berkeley and 1965 in Zürich. Berkeley notes by J. F. McClendon. Lecture Notes in Mathematics, 13 Springer-Verlag, Berlin-New York 1966 iv+45 pp. (Reviewer: E. Fadell) 55.50

MR0198466 (33 #6624) Hilton, Peter Homotopy theory and duality. Gordon and Breach Science Publishers, New York-London-Paris 1965 x+224 pp. (Reviewer: S.-T. Hu) 55.40

MR0185597 (32 #3061) Adams, J. Frank Stable homotopy theory. Lectures delivered at the University of California at Berkeley, 1961. N otes by A. T. Vasquez Springer-Verlag, Berlin-Göttingen-Heidelberg-New York 1964 iv+74 pp. (Reviewer: R. Brown) 55.40 (57.00)

MR0160201 (28 #3415) Bourgin, D. G. Modern algebraic topology. The Macmillan Co., New York; Collier-Macmillan Ltd., London 1963 xiii+544 pp. (Reviewer: D. W. Kahn) 55.00

MR0119198 (22 #9964) Cairns, Stewart Scott Introductory topology. The Ronald Press Co., New York 1961 ix+244 pp. (Reviewer: P. J. Hilton) 55.00

MR0115161 (22 #5963) Hilton, P. J.; Wylie, S. Homology theory: An introduction to algebraic topology. Cambridge University Press, New York 1960 xv+484 pp. (Reviewer: A. Heller) 55.00

MR0109349 (22 #235) Ringel, Gerhard Färbungsprobleme auf Flächen und Graphen. (German) Mathematische Monographien, 2 VEB Deutscher Verlag der Wissenschaften, Berlin 1959 viii+132 pp. (Reviewer: W. T. Tutte) 55.00

MR0102822 (21 #1608) Berge, Claude Théorie des graphes et ses applications. (French) Collection Universitaire de Mathématiques, II Dunod, Paris 1958 viii+277 pp. (Reviewer: F. Harary) 55.00 (05.00)

MR0102797 (21 #1583) Godement, Roger Topologie algébrique et théorie des faisceaux. (French) Actualit'es Sci. Ind. No. 1252. Publ. Math. Univ. Strasbourg. No. 13 Hermann, Paris 1958 viii+283 pp. (Reviewer: R. Deheuvels) 55.00

MR0081477 (18,409d) Séminaire Henri Cartan de l'Ecole Normale Supérieure, 1949/1950. Espaces fibrés et homotopie. (French) 18 exposés par Blanchard, A.; Borel, A.; Cartan, H.; Serre, J. P.; and Wen Tsün, Wu. 2ème éd. Secrétariat mathématique, 11 rue Pierre Curie, Paris, 1956. iii+149 pp. (Reviewer: W. S. Massey) 55.0X

MR0058974 (15,458e) Borel, A. Cohomologie des espaces localement compacts, d'après J. Leray. (French) Séminaire de topologie algébrique, printemps 1951. Ecole Polytechnique Fédérale, Zurich, 1953. 95 pp. (mimeographie). (Reviewer: E. H. Spanier) 56.0X

MR0028007 (10,389b) Kuratowski, Casimir Topologie. I. Espaces Métrisables, Espaces Complets. (French) 2d ed. Monografie Matematyczne, vol. 20. Warszawa-Wrocƚaw, 1948. xi+450 pp. (Reviewer: J. H. Roberts) 56.0X

MR0027138 (10,260a) Bourbaki, N. Éléments de mathématique. VIII. Première partie: Les structures fondamentales de l'analyse. Livre III: Topologie générale. Chapitre IX: Utilisation des nombres réels en topologie générale. (French) Actualités Sci. Ind., no 1045. Hermann et Cie., Paris, 1948. ii+101+ii pp. (Reviewer: E. G. Begle) 56.0X

MR0025723 (10,55b) Aleksandrov, P. S. Kombinatornaya Topologiya. (Russian) [Combinatorial Topology] OGIZ, Moscow-Leningrad,] 1947. 660 pp. (Reviewer: L. Zippin) 56.0X

MR0007095 (4,86b) Whyburn, Gordon Thomas Analytic Topology. American Mathematical Society Colloquium Publications, v. 28. American Mathematical Society, New York, 1942. x+278 pp. (Reviewer: W. L. Ayres) 56.0X

MR0007093 (4,84f) Lefschetz, Solomon Algebraic Topology. American Mathematical Society Colloquium Publications, v. 27. American Mathematical Society, New York, 1942. vi+389 pp. (Reviewer: H. Whitney) 56.0X

MR0006493 (3,312b) Hurewicz, Witold; Wallman, Henry Dimension Theory. Princeton Mathematical Series, v. 4. Princeton University Press, Princeton, N. J., 1941. vii+165 pp. (Reviewer: H. Whitney) 56.0X

MR2334563 (2008d:57020) Morgan, John; Tian, Gang Ricci flow and the Poincaré conjecture. Clay Mathematics Monographs, 3. American Mathematical Society, Providence, RI; Clay Mathematics Institute, Cambridge, MA, 2007. xlii+521 pp. ISBN 978-0-8218-4328-4 (Reviewer: Terence C. Tao) 57M40 (53C44)

MR2056374 (2005d:57042) Walczak, Paweƚ Dynamics of foliations, groups and pseudogroups. Instytut Matematyczny Polskiej Akademii Nauk. Monografie Matematyczne (New Series) [Mathematics Institute of the Polish Academy of Sciences. Mathematical Monographs (New Series)], 64. Birkhäuser Verlag, Basel, 2004. xii+225 pp. ISBN 3-7643-7091-2 (Reviewer: Steven E. Hurder) 57R30 (37B40 37C40 37C45 37C85 58H05)

MR2060653 (2005b:57030) Boileau, Michel; Maillot, Sylvain; Porti, Joan Three-dimensional orbifolds and their geometric structures. Panoramas et Synthèses [Panoramas and Syntheses], 15. Société Mathématique de France, Paris, 2003. viii+167 pp. ISBN 2-85629-152-X (Reviewer: Darryl McCullough) 57M50 (20F69 53C23 57M60 57N10)

MR2012779 (2005b:57008) Johnson, F. E. A. Stable modules and the $D(2)$-problem. London Mathematical Society Lecture Note Series, 301. Cambridge University Press, Cambridge, 2003. x+267 pp. ISBN 0-521-53749-5 (Reviewer: John G. Ratcliffe) 57M20 (16E30 16H05 18G10 18G35 20J05)

MR1941324 (2004c:57026) Saveliev, Nikolai Invariants for homology $3$-spheres. Encyclopaedia of Mathematical Sciences, 140. Low-Dimensional Topology, I. Springer-Verlag, Berlin, 2002. xii+223 pp. ISBN 3-540-43796-7 (Reviewer: Hans U. Boden) 57M27 (57N10 57R58)

MR1932169 (2003k:57014) Hillman, Jonathan Algebraic invariants of links. Series on Knots and Everything, 32. World Scientific Publishing Co., Inc., River Edge, NJ, 2002. xii+305 pp. ISBN 981-238-154-6 (Reviewer: Charles Livingston) 57M27 (57M25)

MR1881401 (2003f:57027) Ohtsuki, Tomotada Quantum invariants. A study of knots, 3-manifolds, and their sets. Series on Knots and Everything, 29. World Scientific Publishing Co., Inc., River Edge, NJ, 2002. xiv+489 pp. ISBN 981-02-4675-7 (Reviewer: Justin D. Roberts) 57M27

MR1851014 (2002h:57031) van Mill, Jan The infinite-dimensional topology of function spaces. North-Holland Mathematical Library, 64. North-Holland Publishing Co., Amsterdam, 2001. xii+630 pp. ISBN 0-444-50557-1 (Reviewer: Taras Banakh) 57N20 (46T10 54C35 57N17 58D15)

MR1941420 (2003i:57012) Lamm, Christoph Zylinder-Knoten und symmetrische Vereinigungen. (German) [Cylinder knots and symmetric unions] Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn, 1999. Bonner Mathematische Schriften [Bonn Mathematical Publications], 321. Universität Bonn, Mathematisches Institut, Bonn, 1999. vi+90 pp. (Reviewer: Uwe Kaiser) 57M25

MR1707327 (2000h:57038) Gompf, Robert E.; Stipsicz, András I. $4$-manifolds and Kirby calculus. Graduate Studies in Mathematics, 20. American Mathematical Society, Providence, RI, 1999. xvi+558 pp. ISBN 0-8218-0994-6 (Reviewer: Nikolai N. Saveliev) 57N13 (14J80 32Q55 57-02 57R17 57R57 57R65)

MR1614298 (99h:57001) Outerelo, Enrique; Ruiz, Jesús M. Topología diferencial. (Spanish) [Differential topology] Variedades con borde. Transversalidad. Aproximación [Manifolds with boundary. Transversality. Approximation]. Addison-Wesley Iberoamericana España S.A., Madrid, 1998. x+162 pp. ISBN 0-201-65330-3 (Reviewer: Luis Ugarte) 57-01 (57Rxx 58-01)

MR1367507 (97d:57042) Morgan, John W. The Seiberg-Witten equations and applications to the topology of smooth four-manifolds. Mathematical Notes, 44. Princeton University Press, Princeton, NJ, 1996. viii+128 pp. ISBN 0-691-02597-5 (Reviewer: Zoltán Szabó) 57R57 (58D27 58D29)

MR1337498 (96f:57004) Gilbert, N. D.; Porter, T. Knots and surfaces. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1994. xii+268 pp. ISBN 0-19-853397-7 (Reviewer: Dončo Dimovski) 57M25 (57-01)

MR1308714 (96b:57024) Weinberger, Shmuel The topological classification of stratified spaces. Chicago Lectures in Mathematics. University of Chicago Press, Chicago, IL, 1994. xiv+283 pp. ISBN 0-226-88566-6; 0-226-88567-4 (Reviewer: A. A. Ranicki) 57N80 (57R67)

MR1279174 (95g:57006) Two-dimensional homotopy and combinatorial group theory. Edited by Cynthia Hog-Angeloni, Wolfgang Metzler and Allen J. Sieradski. London Mathematical Society Lecture Note Series, 197. Cambridge University Press, Cambridge, 1993. xii+412 pp. ISBN 0-521-44700-3 (Reviewer: John G. Ratcliffe) 57M20 (19J10 20F06 20F10 20F32 55P15 55Q52 57-06)

MR1151624 (93c:57021) Tamura, Itiro Topology of foliations: an introduction. Translated from the 1976 Japanese edition and with an afterword by Kiki Hudson. With a foreword by Takashi Tsuboi. Translations of Mathematical Monographs, 97. American Mathematical Society, Providence, RI, 1992. xii+193 pp. ISBN 0-8218-4543-8 (Reviewer: John Cantwell) 57R30 (34C35 58F18)

MR1150492 (93g:57044) Kawakubo, Katsuo The theory of transformation groups. Translated from the 1987 Japanese edition. The Clarendon Press, Oxford University Press, New York, 1991. x+338 pp. ISBN 0-19-853212-1 (Reviewer: Karl Heinz Dovermann) 57Sxx (20F32 54H11 57S15)

MR1120547 (93i:57038) Godbillon, Claude Feuilletages. (French) [Foliations] Études géométriques. [Geometric studies] With a preface by G. Reeb. Progress in Mathematics, 98. Birkhäuser Verlag, Basel, 1991. xiv+474 pp. ISBN 3-7643-2638-7 (Reviewer: J. Chrastina (Zbl 724:58002)) 57R30 (58A17 58F18)

MR1098502 (92f:57043) Petrie, Ted; Randall, John Connections, definite forms, and four-manifolds. Oxford Mathematical Monographs. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York, 1990. x+131 pp. ISBN 0-19-853599-6 (Reviewer: Terry Lawson) 57R57 (57N13 58D27)

MR0989273 (90e:57042) Levitt, Norman Grassmannians and Gauss maps in piecewise-linear topology. Lecture Notes in Mathematics, 1366. Springer-Verlag, Berlin, 1989. vi+203 pp. ISBN 3-540-50756-6 (Reviewer: J. P. E. Hodgson) 57Q35 (57R20)

MR0964685 (89k:57025) Casson, Andrew J.; Bleiler, Steven A. Automorphisms of surfaces after Nielsen and Thurston. London Mathematical Society Student Texts, 9. Cambridge University Press, Cambridge, 1988. iv+105 pp. ISBN 0-521-34203-1 (Reviewer: William Dunbar) 57N05 (32G15 57R30 58F15)

MR0889050 (89c:57048) tom Dieck, Tammo Transformation groups. de Gruyter Studies in Mathematics, 8. Walter de Gruyter & Co., Berlin, 1987. x+312 pp. ISBN 3-11-009745-1 (Reviewer: Shmuel Weinberger) 57Sxx (57-02)

MR0872468 (88a:57001) Daverman, Robert J. Decompositions of manifolds. Pure and Applied Mathematics, 124. Academic Press, Inc., Orlando, FL, 1986. xii+317 pp. ISBN 0-12-204220-4 (Reviewer: Dušan Repovš) 57-01 (54B15)

MR0808776 (87b:57004) Burde, Gerhard; Zieschang, Heiner Knots. de Gruyter Studies in Mathematics, 5. Walter de Gruyter & Co., Berlin, 1985. xii+399 pp. ISBN 3-11-008675-1 (Reviewer: J.-A. Hillman (Zbl 568:57001)) 57M25 (57-02)

MR0758459 (86i:57002) The Smith conjecture. Papers presented at the symposium held at Columbia University, New York, 1979. Edited by John W. Morgan and Hyman Bass. Pure and Applied Mathematics, 112. Academic Press, Inc., Orlando, FL, 1984. xv+243 pp. ISBN 0-12-506980-4 (Reviewer: Allan Edmonds) 57-06 (57N10 57S17 57S25)

MR0757358 (86c:57031) Freed, Daniel S.; Uhlenbeck, Karen K. Instantons and four-manifolds. Mathematical Sciences Research Institute Publications, 1. Springer-Verlag, New York, 1984. viii+232 pp. ISBN 0-387-96036-8 (Reviewer: N. J. Hitchin) 57R55 (57M40 57N05 57N13 57R60 58E15 58G05)

MR0751781 (85f:57010) Dimovski, Dončo Non-simply connected Casson handles. With a Macedonian preface and summary. {\cyr Posebni Izdani{\rm j}a} [Special Editions], 1. Université ``Kiril et Metodij, Matematički Fakultet, Skopje, 1984. vii+160 pp. (Reviewer: John J. Walsh) 57N15 (57M99)

MR0841270 (88c:57002) Tamura, Ichiro Bibun isōkikagaku. I--III. (Japanese) [Differential topology. I--III] Second edition. Iwanami Shoten Kiso Sūgaku [Iwanami Lectures on Fundamental Mathematics], 20. Kikagaku [Geometry], iii. Iwanami Shoten, Tokyo, 1983. Vol. I: vi+142 pp.; Vol. II: pp. i--vi and 143--276; Vol. III: pp. i--vii and 277--450. (Reviewer: Masahisa Adachi) 57-02 (58-01)

MR0728227 (85j:57001) Bing, R. H. The geometric topology of 3-manifolds. American Mathematical Society Colloquium Publications, 40. American Mathematical Society, Providence, RI, 1983. x+238 pp. ISBN 0-8218-1040-5 (Reviewer: J. E. Keesling) 57-02 (57N10)

MR0658304 (83i:57016) Bott, Raoul; Tu, Loring W. Differential forms in algebraic topology. Graduate Texts in Mathematics, 82. Springer-Verlag, New York-Berlin, 1982. xiv+331 pp. ISBN 0-387-90613-4 (Reviewer: Hansklaus Rummler) 57R19 (55-02 58-01 58A12)

MR0662422 (83e:57001) Low-dimensional topology. Proceedings of the Conference on Topology in Low Dimension held at the University College of North Wales, Bangor, July 2--5, 1979. Edited by R. Brown [Ronald Brown] and T. L. Thickstun. London Mathematical Society Lecture Note Series, 48. Cambridge University Press, Cambridge-New York, 1982. iii+246 pp. ISBN 0-521-28146-6 57-06

MR0643627 (86g:57001) Zieschang, Heiner Finite groups of mapping classes of surfaces. Lecture Notes in Mathematics, 875. Springer-Verlag, Berlin, 1981. viii+340 pp. ISBN 3-540-10857-2 (Reviewer: F. Raymond) 57-02 (20F38 20H10 20J10 32G15 57N05)

MR0602149 (82h:57001) Stillwell, John C. Classical topology and combinatorial group theory. Graduate Texts in Mathematics, 72. Springer-Verlag, New York-Berlin, 1980. xii+301 pp. ISBN 0-387-90516-2 (Reviewer: Jože Vrabec) 57-01 (20-02 20Fxx 57M99)

MR0586943 (82c:57001) Kosniowski, Czes A first course in algebraic topology. Cambridge University Press, Cambridge-New York, 1980. viii+269 pp. ISBN 0-521-23195-7; 0-521-29864-4 (Reviewer: Jože Vrabec) 57-01 (55-01)

MR0642831 (84m:57017) Camacho, César; Lins Neto, Alcides Teoria geométrica das folheaç oes. (Portuguese) [Geometric theory of foliations] Projeto Euclides [Euclid Project], 9. Instituto de Matemática Pura e Aplicada, Rio de Janeiro, 1979. v+238 pp. (Reviewer: Carl P. Simon) 57R30 (53C12 57-02 58F18)

MR0500974 (58 #18458) Bennequin, Daniel Les bords des revêtements ramifiés des surfaces (d'après Titus, Marx et Francis). (French) Centre de Mathématiques de l'École Normale Supérieure, Équipe de Recherche Associée au C.N.R.S., No. 589. Secrétariat Mathématique, École Normale Supérieure, Paris, 1977. 39 pp. ISBN 2-7288-0031-6 (Reviewer: George K. Francis) 57A10

MR0413144 (54 #1265) Bredon, Glen E. Introduction to compact transformation groups. Pure and Applied Mathematics, Vol. 46. Academic Press, New York-London, 1972. xiii+459 pp. (Reviewer: P. Y. Wang) 57E15

MR0251745 (40 #4972) Narasimhan, Raghavan Analysis on real and complex manifolds. Advanced Studies in Pure Mathematics, Vol. 1 Masson & Cie, Éditeurs, Paris; North-Holland Publishing Co., Amsterdam 1968 x+246 pp. (Reviewer: J. W. Robbin) 57.50

MR0240836 (39 #2181) Abraham, Ralph; Robbin, Joel Transversal mappings and flows. An appendix by Al Kelley W. A. Benjamin, Inc., New York-Amsterdam 1967 x+161 pp. (Reviewer: J. Palis) 57.55

MR0176478 (31 #750) Conner, P. E.; Floyd, E. E. Differentiable periodic maps. Ergebnisse der Mathematik und ihrer Grenzgebiete, N. F., Band 33 Academic Press Inc., Publishers, New York; Springer-Verlag, Berlin-Göttingen-Heidelberg 1964 vii+148 pp. (Reviewer: E. Dyer) 57.10 (55.36)

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