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Algebraic topology : a first course

Author: William Fulton
Publisher: New York : Springer-Verlag, ©1995.
Series: Graduate texts in mathematics, 153.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Rather than choosing one point of view of modem topology (homotopy theory, simplicial complexes, singular theory, axiomatic homology, differ- ential topology, etc.), we concentrate our attention on  Read more...

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Additional Physical Format: Online version:
Fulton, William, 1939-
Algebraic topology.
New York : Springer-Verlag, ©1995
(OCoLC)624478314
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: William Fulton
ISBN: 0387943269 9780387943268 0387943277 9780387943275 3540943269 9783540943266 3540943277 9783540943273
OCLC Number: 30594171
Description: xviii, 430 pages : illustrations ; 25 cm.
Contents: Ch. 1. Path Integrals --
Ch. 2. Angles and Deformations --
Ch. 3. The Winding Number --
Ch. 4. Applications of Winding Numbers --
Ch. 5. De Rham Cohomology and the Jordan Curve Theorem --
Ch. 6. Homology --
Ch. 7. Indices of Vector Fields --
Ch. 8. Vector Fields on Surfaces --
Ch. 9. Holes and Integrals --
Ch. 10. Mayer-Vietoris --
Ch. 11. Covering Spaces --
Ch. 12. The Fundamental Group --
Ch. 13. The Fundamental Group and Covering Spaces --
Ch. 14. The Van Kampen Theorem --
Ch. 15. Cohomology --
Ch. 16. Variations --
Ch. 17. The Topology of Surfaces --
Ch. 18. Cohomology on Surfaces --
Ch. 19. Riemann Surfaces --
Ch. 20. Riemann Surfaces and Algebraic Curves --
Ch. 21. The Riemann-Roch Theorem --
Ch. 22. Toward Higher Dimensions --
Ch. 23. Higher Homology --
Ch. 24. Duality --
Appendix A: Point Set Topology --
Appendix B: Analysis --
Appendix C: Algebra --
Appendix D: On Surfaces --
Appendix E: Proof of Borsuk's Theorem.
Series Title: Graduate texts in mathematics, 153.
Responsibility: William Fulton.
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W. Fulton Algebraic Topology A First Course "Fulton has done genuine service for the mathematical community by writing a text on algebraic topology which is genuinely different from the existing Read more...

 
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