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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
- 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
