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紧流形上的割补术(第2版英文版)(精)/美国数学会经典影印系列

紧流形上的割补术(第2版英文版)(精)/美国数学会经典影印系列

  • 字数: 510
  • 出版社: 高等教育
  • 作者: (英)C.T.C.沃尔
  • 商品条码: 9787040502329
  • 版次: 1
  • 开本: 16开
  • 页数: 302
  • 出版年份: 2018
  • 印次: 1
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目录
Contents 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 Parr 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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