Algebraic and geometric surgery:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Clarendon Press
2002
New York Oxford University Press |
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Oxford mathematical monographs
Oxford science publications |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references (p. [361]-365) and index |
| Beschreibung: | XI, 373 S. Ill. |
| ISBN: | 0198509243 9780198509240 |
Internformat
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| 245 | 1 | 0 | |a Algebraic and geometric surgery |c Andrew Ranicki |
| 250 | |a 1. publ. | ||
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| 264 | 1 | |a New York |b Oxford University Press | |
| 300 | |a XI, 373 S. |b Ill. | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Oxford mathematical monographs | |
| 490 | 0 | |a Oxford science publications | |
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Datensatz im Suchindex
| _version_ | 1804129570319761408 |
|---|---|
| adam_text | CONTENTS
1 The surgery classification of manifolds 1
2 Manifolds 14
2.1 Differentiable manifolds 14
2.2 Surgery 16
2.3 Morse theory 18
2.4 Handles 22
3 Homotopy and homology 29
3.1 Homotopy 29
3.2 Homology 33
4 Poincare duality 48
4.1 Poincare duality 48
4.2 The homotopy and homology effects of surgery 53
4.3 Surfaces 61
4.4 Rings with involution 66
4.5 Universal Poincare duality 72
5 Bundles 86
5.1 Fibre bundles and fibrations 86
5.2 Vector bundles 89
5.3 The tangent and normal bundles 105
5.4 Surgery and bundles 112
5.5 The Hopf invariant and the J homomorphism 118
6 Cobordism theory 124
6.1 Cobordism and transversality 124
6.2 Framed cobordism 129
6.3 Unoriented and oriented cobordism 133
6.4 Signature 135
x Contents
7 Embeddings, immersions, and singularities 142
7.1 The Whitney Immersion and Embedding Theorems 142
7.2 Algebraic and geometric intersections 148
7.3 The Whitney trick 156
7.4 The Smale Hirsch classification of immersions 161
7.5 Singularities 167
8 Whitehead torsion 170
8.1 The Whitehead group 170
8.2 The h and s Cobordism Theorems 175
8.3 Lens spaces 186
9 Poincare complexes and spherical fibrations 193
9.1 Geometric Poincare complexes 194
9.2 Spherical fibrations 198
9.3 The Spivak normal fibration 205
9.4 Browder Novikov theory 209
10 Surgery on maps 218
10.1 Surgery on normal maps 220
10.2 The regular homotopy groups 226
10.3 Kernels 231
10.4 Surgery below the middle dimension 239
10.5 Finite generation 241
11 The even dimensional surgery obstruction 247
11.1 Quadratic forms 247
11.2 The kernel form 256
11.3 Surgery on forms 282
11.4 The even dimensional L groups 289
11.5 The even dimensional surgery obstruction 296
12 The odd dimensional surgery obstruction 302
12.1 Quadratic formations 302
12.2 The kernel formation 307
12.3 The odd dimensional L groups 317
12.4 The odd dimensional surgery obstruction 320
12.5 Surgery on formations 323
12.6 Linking forms 334
Contents xi
13 The structure set 340
13.1 The structure set 340
13.2 The simple structure set 344
13.3 Exotic spheres 346
13.4 Surgery obstruction theory 356
References 361
Index 367
|
| any_adam_object | 1 |
| author | Ranicki, Andrew 1948-2018 |
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| dewey-full | 514/.72 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.72 |
| dewey-search | 514/.72 |
| dewey-sort | 3514 272 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:07:14Z |
| institution | BVB |
| isbn | 0198509243 9780198509240 |
| language | English |
| lccn | 2002075720 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010011910 |
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| physical | XI, 373 S. Ill. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Clarendon Press Oxford University Press |
| record_format | marc |
| series2 | Oxford mathematical monographs Oxford science publications |
| spelling | Ranicki, Andrew 1948-2018 Verfasser (DE-588)120140500 aut Algebraic and geometric surgery Andrew Ranicki 1. publ. Oxford Clarendon Press 2002 New York Oxford University Press XI, 373 S. Ill. txt rdacontent n rdamedia nc rdacarrier Oxford mathematical monographs Oxford science publications Includes bibliographical references (p. [361]-365) and index Surgery (Topology) Chirurgie Mathematik (DE-588)4200269-2 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Chirurgie Mathematik (DE-588)4200269-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010011910&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ranicki, Andrew 1948-2018 Algebraic and geometric surgery Surgery (Topology) Chirurgie Mathematik (DE-588)4200269-2 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| subject_GND | (DE-588)4200269-2 (DE-588)4037379-4 |
| title | Algebraic and geometric surgery |
| title_auth | Algebraic and geometric surgery |
| title_exact_search | Algebraic and geometric surgery |
| title_full | Algebraic and geometric surgery Andrew Ranicki |
| title_fullStr | Algebraic and geometric surgery Andrew Ranicki |
| title_full_unstemmed | Algebraic and geometric surgery Andrew Ranicki |
| title_short | Algebraic and geometric surgery |
| title_sort | algebraic and geometric surgery |
| topic | Surgery (Topology) Chirurgie Mathematik (DE-588)4200269-2 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| topic_facet | Surgery (Topology) Chirurgie Mathematik Mannigfaltigkeit |
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