图书信息
图书目录
流形拓扑导论讲义（英文版）
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.
作者：
F. Thomas Farrell, Yang Su
定价：
49.00元
出版时间：
2014-03-14
ISBN：
978-7-04-039003-2
物料号：
39003-00
读者对象：
学术著作
一级分类：
自然科学
二级分类：
数学与统计
三级分类：
拓扑学
重点项目：
暂无
版面字数：
160.000千字
开本：
16开
全书页数：
128页
装帧形式：
精装
- 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
