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：2014-01
出版社：高等教育出版社
获奖信息：中国图书对外推广计划（CBI）
- 高等教育出版社
- 9787040390032
- 1版
- 227470
- 45246034-8
- 精装
- 16开
- 2014-01
- 160
- 128
- 理学
- 数学
- O189.3
- 数学、统计类
- 本科 研究生（硕士、EMBA、MBA、MPA、博士）
All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying,recording or by any information storage and retrieval system, withoutpermission.
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
