代数拓扑简明教程（第1卷）
作者：乔·彼得·梅
出版社：世界图书出版公司
出版时间：2019-09-01
ISBN：9787519266592
定价：¥42.00
Introduction
\nChapter 1. The fundamental group and some of its applications
\nChapter 2. Categorical language and the van Kampen theorem
\nChapter 3. Covering spaces
\nChapter 4. Graphs
\nChapter 5. Compactly generated spaces
\nChapter 6. Cofibrations
\nChapter 7. Fibrations
\nChapter 8. Based cofiber and fiber sequences
\nChapter 9. Higher homotopy groups
\nChapter 10. CW complexes
\nChapter 11. The homotopy excision and suspension theorems
\nChapter 12. A little homological algebra
\nChapter 13. Axiomatic and cellular homology theory
\nChapter 14. Derivations of properties from the axioms
\nChapter 15. The Hurewicz and uniqueness theorems
\nChapter 16. Singular homology theory
\nChapter 17. Some more homological algebra
\nChapter 18. Axiomatic and cellular cohomology theory
\nChapter 19. Derivations of properties from the axioms
\nChapter 20. The Poincar´e duality theorem
\nChapter 21. The index of manifolds; manifolds with boundary
\nChapter 22. Homology, cohomology, and K(π, n)s
\nChapter 23. Characteristic classes of vector bundles
\nChapter 24. An introduction to K-theory
\nChapter 25. An introduction to cobordism
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