描述
开 本: 16开纸 张: 胶版纸包 装: 平装-胶订是否套装: 否国际标准书号ISBN: 9787519266592
美国芝加哥大学著名数学家乔·彼得·梅（J. P. May）教授所著的经典权威教材，是代数拓扑的入门简明教程。
代数拓扑是现代数学的基本部分，这个领域的知识对研究高级的与几何相关的工作（包括拓扑本身、微分几何、代数几何和李群等）来说是必不可少的。本书是一本代数拓扑的简明教程，书里包含了很多首次在教科书中出现的代数拓扑的前沿研究进展。
Introduction
Chapter 1. The fundamental group and some of its applications
Chapter 2. Categorical language and the van Kampen theorem
Chapter 3. Covering spaces
Chapter 4. Graphs
Chapter 5. Compactly generated spaces
Chapter 6. Cofibrations
Chapter 7. Fibrations
Chapter 8. Based cofiber and fiber sequences
Chapter 9. Higher homotopy groups
Chapter 10. CW complexes
Chapter 11. The homotopy excision and suspension theorems
Chapter 12. A little homological algebra
Chapter 13. Axiomatic and cellular homology theory
Chapter 14. Derivations of properties from the axioms
Chapter 15. The Hurewicz and uniqueness theorems
Chapter 16. Singular homology theory
Chapter 17. Some more homological algebra
Chapter 18. Axiomatic and cellular cohomology theory
Chapter 19. Derivations of properties from the axioms
Chapter 20. The Poincar´e duality theorem
Chapter 21. The index of manifolds; manifolds with boundary
Chapter 22. Homology, cohomology, and K(π, n)s
Chapter 23. Characteristic classes of vector bundles
Chapter 24. An introduction to K-theory
Chapter 25. An introduction to cobordism
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