A basic course in algebraic topology /
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York :
Springer-Verlag,
©1991.
|
| Series: | Graduate texts in mathematics ;
127. |
| Subjects: |
Table of Contents:
- Two-dimensional manifolds
- The fundamental group
- Free groups and free products of groups
- Seifert and van Kampen theorem on the fundamental group of the union of two spaces. Applications
- Covering spaces
- Background and motivation for homology theory
- Definitions and basic properties of homology theory
- Determination of the homology groups of certain spaces: applications and further properties of homology theory
- Homology of CW-complexes
- Homology with arbitrary coefficient groups
- The homology of product spaces
- Cohomology theory
- Products in homology and cohomology
- Duality theorems for the homology of manifolds
- Cup products in projective spaces and applications of cup products
- Appendix A: A proof of De Rham's theorem.