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.
Introductory.
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.
Surfaces
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.
3-Manifolds
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.
4-Manifolds.
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.
more...
Freedman, M.H. and Luo, Feng. Selected Applications of Geometry to Low-Dimensional Topology Providence, RI: American Mathematical Society, 1990.
Miscelllaneous
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
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