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bibliography for topology
References for Topology
Popular and Introductory
- 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)
- Seymour Lipschutz, Theory and Problems of General Topology, Schaum Publishing Co., New York, 1965
- Colin C. Adams, The Knot Book, W. H. Freeman and Co., New York, 1994; ISBN 0-7167-2393-X; QA612.2.A33
General Topology
- N. Bourbaki, General Topology, Part 1, Addison-Wesley Publishing Company, 1966
- John G. Hocking, Gail S. Young, Topology, Addison-Wesley, Reading, Massachussets, 1961; Dover, New York, 1988; ISBN 0-486-65674, QA611.H68
- R. Engelking, General topology, PWN, Warsaw, 1977.
- J.L. Kelley, General Topology, D. van Nostrand Company, Inc., 1955; Springer-Verlag, New York, ISBN 0-387-90125-6
- 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
- S. Willard, General Topology, Addison-Wesley, Publishing Company, 1970; Dover Publications, 2004, ISBN 0486434796.
- Paul Alexandroff and Heinz Hopf, Topologie, Chelsea Publishing Company, Bronx, New York, c 1935, 1972.; ISBN 0-8284-1197-2
- Steven A. Gaal, Point Set Topology, Academic Press, New York, c. 1964.
- James Dugundji, Topology, Allyn and Bacon, Boston, c. 1966.
- Michael C. Gemignani, Elementary Topology, 2nd ed. , Addison-Wesley, Reading, Mass., 1967, ; Dover Publications, 1990, ISBN 0-486-66522-4.
- William J. Pervin, Foundations of General Topology, Academic Press, New York, 1964.
Algebraic Topology
- Ronald Brown: Topology and Groupoids, BookSurge LLC (2006).
- 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).
- 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).
- R. Brown and J.-L. Loday: Van Kampen Theorems for diagrams of spaces, Topology, 26: 311-337 (1987).
- R. Brown and G. H. Mosa: Double algebroids and crossed modules of algebroids, University of Wales-Bangor, Maths Preprint, 1986.
- R. Brown and C.B. Spencer: Double groupoids and crossed modules, Cahiers Top. Géom.Diff. 17 (1976), 343-362.
- Madalina (Ruxi) Buneci.: Groupoid Representations., Ed. Mirton: Timisoara (2003).
- Allain Connes: Noncommutative Geometry, Academic Press 1994.
- William S. Massey, A Basic Course in Algebraic Topology, Springer, New York, 1991; ISBN 0-387-97430-X, 3-540-97430-X; QA612.M374
- C.R.F. Maunder, Algebraic Topology, Cambridge University Press, 1980, Dover Edition, 1996; ISBN 0-486-69131-4
- Fred H. Croom, Basic Concepts of Algebraic Topology, Springer-Verlag, New York, 1978; ISBN 0-387-90288-0
- Joseph J. Rotman, An Introduction to Algebraic Topology, Springer-Verlag, New York, 1988: ISBN 0-387-96678-1
Differential Topology
- 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
- Michael Atiyah, The Geometry and Physics of Knots, Cambridge University Press, Cambridge, 1990; ISBN 0-521-39521-6, 0-521-39554-2
- Alfsen, E.M. and F. W. Schultz: Geometry of State Spaces of Operator Algebras, Birkhäuser, Boston-Basel-Berlin (2003).
- 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.
- M. Chaician and A. Demichev: Introduction to Quantum Groups, World Scientific (1996).
Topological Groups
- Taqdir Husain, Introduction to Topological Groups, W. B. Saunders Company, Philadelphia, 1966.
- Markus Stroppel, Locally Compact Groups, EMS Textbooks in Mathematics, European Mathematical Society, Zürich, 2006, ISBN 3-03719-016-7
bibliography for topology is owned by Thomas Foregger, Raymond Puzio, yark, kompik, J. Pahikkala, bci1.
None.
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