紧流形上的割补术 第2版
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作者(英)C.T.C.沃尔(C.T.C.Wall)
出版社高等教育出版社
ISBN9787040502329
出版时间2018-08
装帧精装
开本16开
定价135元
货号1201744671
上书时间2024-07-05
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目录
Forewords
Editors 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 spe 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
……
内容摘要
《紧流形上的割补术（第2版 影印版 英文）》的版于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。
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