References for Topology

Popular and Introductory

1. Stephen Barr, Experiments in Topology, Thomas Y. Crowell Company, New York, 1964 (very nice; available also in Estonian: Kääride ja paberiga topoloogiasse, Kirjastus “Valgus”, Tallinn, 1982)
2. Seymour Lipschutz, Theory and Problems of General Topology, Schaum Publishing Co., New York, 1965
3. Colin C. Adams, The Knot Book, W. H. Freeman and Co., New York, 1994; ISBN 0-7167-2393-X; QA612.2.A33

General Topology

1. N. Bourbaki, General Topology, Part 1, Addison-Wesley Publishing Company, 1966
2. John G. Hocking, Gail S. Young, Topology, Addison-Wesley, Reading, Massachussets, 1961; Dover, New York, 1988; ISBN 0-486-65674, QA611.H68
3. R. Engelking, General topology, PWN, Warsaw, 1977.
4. J.L. Kelley, General Topology, D. van Nostrand Company, Inc., 1955; Springer-Verlag, New York, ISBN 0-387-90125-6
5. Lynn Arthur Steen and Arthur Seebach, Jr,. Counterexamples in Topology, Holt, Rinehart and Winston, Inc., 1970; Springer, New York, 1978; Dover, New York, 1995; ISBN 0-486-68735-X; QA611.3.S74
6. S. Willard, General Topology, Addison-Wesley, Publishing Company, 1970; Dover Publications, 2004, ISBN 0486434796.
7. Paul Alexandroff and Heinz Hopf, Topologie, Chelsea Publishing Company, Bronx, New York, c 1935, 1972.; ISBN 0-8284-1197-2
8. Steven A. Gaal, Point Set Topology, Academic Press, New York, c. 1964.
9. James Dugundji, Topology, Allyn and Bacon, Boston, c. 1966.
10. Michael C. Gemignani, Elementary Topology, 2nd ed. , Addison-Wesley, Reading, Mass., 1967, ; Dover Publications, 1990, ISBN 0-486-66522-4.
11. William J. Pervin, Foundations of General Topology, Academic Press, New York, 1964.

Algebraic Topology

1. Ronald Brown: Topology and Groupoids, BookSurge LLC (2006).
2. Ronald Brown R, P.J. Higgins, and R. Sivera.: "Non-Abelian algebraic topology", . http://www. bangor.ac.uk/mas010/nonab-a-t.html; http://www.bangor.ac.uk/mas010/nonab-t/partI010604.pdf (in preparation). (2008).
3. R. Brown and J.-L. Loday: Homotopical excision, and Hurewicz theorems, for n-cubes of spaces, Proc. London Math. Soc., 54:(3), 176-192, (1987).
4. R. Brown and J.-L. Loday: Van Kampen Theorems for diagrams of spaces, Topology, 26: 311-337 (1987).
5. R. Brown and G. H. Mosa: Double algebroids and crossed modules of algebroids, University of Wales-Bangor, Maths Preprint, 1986.
6. R. Brown and C.B. Spencer: Double groupoids and crossed modules, Cahiers Top. Géom.Diff. 17 (1976), 343-362.
7. Madalina (Ruxi) Buneci.: Groupoid Representations., Ed. Mirton: Timisoara (2003).
8. Allain Connes: Noncommutative Geometry, Academic Press 1994.
9. William S. Massey, A Basic Course in Algebraic Topology, Springer, New York, 1991; ISBN 0-387-97430-X, 3-540-97430-X; QA612.M374
10. C.R.F. Maunder, Algebraic Topology, Cambridge University Press, 1980, Dover Edition, 1996; ISBN 0-486-69131-4
11. Fred H. Croom, Basic Concepts of Algebraic Topology, Springer-Verlag, New York, 1978; ISBN 0-387-90288-0
12. Joseph J. Rotman, An Introduction to Algebraic Topology, Springer-Verlag, New York, 1988: ISBN 0-387-96678-1

Differential Topology

1. John W. Milnor, Topology from the Differentiable Viewpoint, University Press of Virgina, Charlottesville, Virgina, 1965; Princeton University Press, Princeton, New Jersey, 1997; ISBN 0-691-04833-9; QA613.6.M55

Topology in Relation to Other Areas of Mathematics

1. Michael Atiyah, The Geometry and Physics of Knots, Cambridge University Press, Cambridge, 1990; ISBN 0-521-39521-6, 0-521-39554-2
2. Alfsen, E.M. and F. W. Schultz: Geometry of State Spaces of Operator Algebras, Birkhäuser, Boston-Basel-Berlin (2003).
3. J. Butterfield and C. J. Isham : A topos perspective on the Kochen-Specker theorem I-IV, Int. J. Theor. Phys, 37 (1998) No 11., 2669-2733 38 (1999) No 3., 827-859, 39 (2000) No 6., 1413-1436, 41 (2002) No 4., 613-639.
4. M. Chaician and A. Demichev: Introduction to Quantum Groups, World Scientific (1996).

Topological Groups

1. Taqdir Husain, Introduction to Topological Groups, W. B. Saunders Company, Philadelphia, 1966.
2. Markus Stroppel, Locally Compact Groups, EMS Textbooks in Mathematics, European Mathematical Society, Zürich, 2006, ISBN 3-03719-016-7