A User's Guide to Algebraic Topology
出版时间:
1997
ISBN:
9780792342922
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从问题入手介绍代数拓扑的各个分支和应用。 Preface.
Introduction and Overview.
1. Basics of Extension and Lifting Problems.
2. Up to Homotopy is Good Enough.
3. Homotopy Group Theory.
4. Homology and Cohomology Theories.
5. Examples in Homology and Cohomology.
6. Sheaf and Spectral Theories.
7. Bundle Theory.
8. Obstruction Theory.
9. Applications.
A: Algebra.
B: Topology.
C: Manifolds and Bundles.
D: Tables of Homotopy Groups.
E: Computational Algebraic Topology.
Bibliography.
Index.
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内容简介:
从问题入手介绍代数拓扑的各个分支和应用。
-
目录:
Preface.
Introduction and Overview.
1. Basics of Extension and Lifting Problems.
2. Up to Homotopy is Good Enough.
3. Homotopy Group Theory.
4. Homology and Cohomology Theories.
5. Examples in Homology and Cohomology.
6. Sheaf and Spectral Theories.
7. Bundle Theory.
8. Obstruction Theory.
9. Applications.
A: Algebra.
B: Topology.
C: Manifolds and Bundles.
D: Tables of Homotopy Groups.
E: Computational Algebraic Topology.
Bibliography.
Index.
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