bibliography for topology
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.
General Topology
- 1.
N. Bourbaki, General Topology, Part 1,Addison-Wesley Publishing Company, 1966
- 2.
- 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.
- 6.
S. Willard, General Topology,Addison-Wesley, Publishing Company, 1970; Dover Publications, 2004, ISBN 0486434796.
- 7.
, Topologie, Chelsea Publishing Company,Bronx, New York, c 1935, 1972.; ISBN 0-8284-1197-2
- 8.
- 9.
, Topology, Allyn and Bacon, Boston, c. 1966.
- 10.
, Elementary Topology, 2nd ed. , Addison-Wesley,Reading, Mass., 1967, ; Dover Publications, 1990, ISBN 0-486-66522-4.
- 11.
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
ofOperator 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.
- 2.