流形拓扑导论讲义（英文版） / 中国图书对外推广计划(CBI)
作者： T.Farrell，苏阳
出版时间：2014-03-14
出版社：高等教育出版社
- 高等教育出版社
- 9787040390032
- 1版
- 227470
- 46254199-6
- 精装
- 16开
- 2014-03-14
- 160
- 128
- 理学
- 数学
- O189.3
- 数学、统计类
- 本科 研究生及以上
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前辅文
1 Introduction
2 The h-Cobordism Theorem
2.1 The h-Cobordism Theorem and Generalized Poincar´e Conjecture
2.2 Tangent vectors, embeddings, isotopies
2.3 Handles and handlebody decomposition
2.4 Calculus of handle moves
2.5 Proof of the h-Cobordism Theorem
3 The s-Cobordism Theorem
3.1 Statement of the s-Cobordism Theorem
3.2 Whitehead group
3.3 Whitehead torsion for chain complexes
4 Some Classical Results
4.1 Novikov’s Theorem
4.2 A counterexample to the Hurewicz Conjecture
4.3 Milnor’s exotic spheres
4.4 Rochlin’s Theorem
4.5 Proof of Novikov’s Theorem
4.6 Novikov Conjecture
5 Exotic Spheres and Surgery
5.1 Plumbing
5.2 Surgery
6 Hauptvermutung
6.1 The Fundamental Theorem of algebraic K-theory
6.2 Edwards-Cannon’s example
6.3 The Hauptvermutung
6.4 Whitehead torsion
6.5 Proof of Stallings’ Theorem
6.6 Farrell-Hsiang’s example
6.7 The structure set
6.8 Siebenmann’s example
References
Index
