Surgery on compact manifolds:
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[1999]
|
| Edition: | Second edition |
| Series: | Mathematical surveys and monographs
volume 69 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | xv, 302 Seiten Illustrationen |
| ISBN: | 0821809423 9780821809426 |
Staff View
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| 245 | 1 | 0 | |a Surgery on compact manifolds |c C. T. C. Wall, edited by A. A. Ranicki |
| 250 | |a Second edition | ||
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c [1999] | |
| 264 | 4 | |c © 1999 | |
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Record in the Search Index
| _version_ | 1804127290009845760 |
|---|---|
| adam_text | Contents
Forewords ix
Editor s foreword to the second edition xi
Introduction xv
Part 0: Preliminaries
Note on conventions 2
0. Basic homotopy notions 3
1. Surgery below the middle dimension 8
1A. Appendix: applications 17
2. Simple Poincare complexes 21
Part 1: The main theorem
3. Statement of results 32
4. An important special case 39
5. The even dimensional case 44
6. The odd dimensional case 57
7. The bounded odd dimensional case 74
8. The bounded even dimensional case 82
9. Completion of the proof 91
Part 2: Patterns of application
10. Manifold structures on Poincare complexes 106
11. Applications to submanifolds 118
12. Submanifolds: other techniques 138
12A. Separating submanifolds 142
12B. Two sided submanifolds 149
12C. One sided submanifolds 155
Part 3: Calculations and applications
13A. Calculations: surgery obstruction groups 172
13B. Calculations: the surgery obstructions 185
14. Applications: free actions on spheres 195
14A. General remarks 195
14B. An extension of the Atiyah Singer G signature theorem 199
14C. Free actions of S1 202
14D. Fake projective spaces (real) 206
14E Fake lens spaces 213
15. Applications: free uniform actions on euclidean space 231
15A. Fake tori 232
15B. Polycyclic groups 237
16. Applications to 4 manifolds 241
vii
viii CONTENTS
Part 4: Postscript
17. Further ideas and suggestions : recent work 250
17A. Function space methods 250
17B. Topological manifolds 254
17C. Poincare embeddings 256
17D. Homotopy and simple homotopy 258
17E. Further calculations 262
17F. Sullivan s results 268
17G. Reformulations of the algebra 272
17H. Rational surgery 278
References 285
Index 300
|
| any_adam_object | 1 |
| author | Wall, C. T. C. 1936- |
| author2 | Ranicki, Andrew 1948-2018 |
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| author_facet | Wall, C. T. C. 1936- Ranicki, Andrew 1948-2018 |
| author_role | aut |
| author_sort | Wall, C. T. C. 1936- |
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| dewey-ones | 514 - Topology |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | Second edition |
| format | Book |
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| id | DE-604.BV012633406 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:30:59Z |
| institution | BVB |
| isbn | 0821809423 9780821809426 |
| language | English |
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| physical | xv, 302 Seiten Illustrationen |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | American Mathematical Society |
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| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Wall, C. T. C. 1936- Verfasser (DE-588)107575256 aut Surgery on compact manifolds C. T. C. Wall, edited by A. A. Ranicki Second edition Providence, Rhode Island American Mathematical Society [1999] © 1999 xv, 302 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs volume 69 Chirurgie (Topologie) ram Manifolds gtt Variétés (Mathématiques) ram Manifolds (Mathematics) Surgery (Topology) Kompakte Mannigfaltigkeit (DE-588)4164848-1 gnd rswk-swf Differentialtopologie (DE-588)4012255-4 gnd rswk-swf Chirurgie Mathematik (DE-588)4200269-2 gnd rswk-swf Kompakte Mannigfaltigkeit (DE-588)4164848-1 s Chirurgie Mathematik (DE-588)4200269-2 s DE-604 Differentialtopologie (DE-588)4012255-4 s Ranicki, Andrew 1948-2018 (DE-588)120140500 edt Erscheint auch als Online-Ausgabe 978-1-4704-1296-8 Mathematical surveys and monographs volume 69 (DE-604)BV000018014 69 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008582807&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wall, C. T. C. 1936- Surgery on compact manifolds Mathematical surveys and monographs Chirurgie (Topologie) ram Manifolds gtt Variétés (Mathématiques) ram Manifolds (Mathematics) Surgery (Topology) Kompakte Mannigfaltigkeit (DE-588)4164848-1 gnd Differentialtopologie (DE-588)4012255-4 gnd Chirurgie Mathematik (DE-588)4200269-2 gnd |
| subject_GND | (DE-588)4164848-1 (DE-588)4012255-4 (DE-588)4200269-2 |
| title | Surgery on compact manifolds |
| title_auth | Surgery on compact manifolds |
| title_exact_search | Surgery on compact manifolds |
| title_full | Surgery on compact manifolds C. T. C. Wall, edited by A. A. Ranicki |
| title_fullStr | Surgery on compact manifolds C. T. C. Wall, edited by A. A. Ranicki |
| title_full_unstemmed | Surgery on compact manifolds C. T. C. Wall, edited by A. A. Ranicki |
| title_short | Surgery on compact manifolds |
| title_sort | surgery on compact manifolds |
| topic | Chirurgie (Topologie) ram Manifolds gtt Variétés (Mathématiques) ram Manifolds (Mathematics) Surgery (Topology) Kompakte Mannigfaltigkeit (DE-588)4164848-1 gnd Differentialtopologie (DE-588)4012255-4 gnd Chirurgie Mathematik (DE-588)4200269-2 gnd |
| topic_facet | Chirurgie (Topologie) Manifolds Variétés (Mathématiques) Manifolds (Mathematics) Surgery (Topology) Kompakte Mannigfaltigkeit Differentialtopologie Chirurgie Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008582807&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT wallctc surgeryoncompactmanifolds AT ranickiandrew surgeryoncompactmanifolds |