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紧流形上的割补术 第2版

紧流形上的割补术 第2版

  • 字数: 510000
  • 装帧: 精装
  • 出版社: 高等教育出版社
  • 作者: (英)C.T.C.沃尔(C.T.C.Wall)
  • 出版日期: 2018-08-01
  • 商品条码: 9787040502329
  • 版次: 1
  • 开本: 16开
  • 页数: 302
  • 出版年份: 2018
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内容简介
《紧流形上的割补术(第2版 影印版 英文)》的第一版于1970年出版,是拓扑流形领域经历硕果累累、令人激动的历史发展时期制高点的标志。
目录
Forewords
Editor's foreword to the second edition
Introduction
Part 0:Preliminarie8
Note on conventions.
0.Basic homotopy notions
1.Surgery below the middle dimension.
1A.Appendix:applications
2.Simple Poincar6 complexes.
Part 1:The main theorem
3.Statement of results
4.An important special case
5.The even.dimensional case
6.The odd—dimensional case
7.The bounded odd—dimensional case.
8.The bounded even.dimensional case
9.Completion of the proof
Part 2:Patterns of application
10.Manifold structures on Poincare complexes.
11.Applications to submanifolds.
12.Submanifolds:other techniques.
12A.Separating submanifolds.
12B.Two-sided submanifolds
12C.One-sided submanifolds
Part 3:Calculations and applications
13A.Calculations:surgery obstruction groups
13B.Calculations:the surgery obstructions
14.Applications:free actions on spheres
14A,General remarks.
14B.An extension of the Atiyah.Singer G-signature theorem
14C.Free actions of S1.
14D.Fake projective spaces(real)
14E Fake lens spaces
15.Applications:free uniform actions on euclidean space
15A.Fake tori.
15B.Polycyclic groups
16.Applications to 4.manifolds
Part 4:Postscript
17.Further ideas and suggestions:recent work
17A.Function space methods
17B.Topological manifolds.
17C.Poincar6 embeddings
17D.Homotopy and simple homotopy
17E.Further calculations
……

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