Equivariant surgery theories and their periodicity properties:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1990
|
| Schriftenreihe: | Lecture notes in mathematics
1443 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 227 S. |
| ISBN: | 3540530428 0387530428 |
Internformat
MARC
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| 100 | 1 | |a Dovermann, Karl Heinz |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Equivariant surgery theories and their periodicity properties |c Karl Heinz Dovermann ; Reinhard Schultz |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1990 | |
| 300 | |a VI, 227 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1443 | |
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| 650 | 7 | |a Transformatiegroepen |2 gtt | |
| 650 | 4 | |a K-theory | |
| 650 | 4 | |a Surgery (Topology) | |
| 650 | 4 | |a Topological transformation groups | |
| 650 | 0 | 7 | |a Chirurgie |g Mathematik |0 (DE-588)4200269-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Äquivariante Chirurgie |g Mathematik |0 (DE-588)4248524-1 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1805082698118594561 |
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| adam_text |
Table of Contents
Preface Ill
Acknowledgments IV
Summary: Background material and main results 1
I. Introduction to equivariant surgery 9
1. Ordinary surgery and free actions 10
2. Strata and indexing data 13
3. Vector bundle systems 18
4. Stepwise surgery and the Gap Hypothesis 20
5. Equivariant surgery groups 22
6. Some examples 29
7. Appendix. Borderline cases of the Gap Hypothesis 31
References for Chapter I 33
II. Relations between equivariant surgery theories 37
1. Browder Quinn theories 37
2. Theories with Gap Hypotheses 45
3. Passage from one theory to another 51
3A. Change of categories 52
3B. Rothenberg sequences in equivariant surgery 55
3C. Change of coefficients 56
3D. Change to pseudoequivalence 57
3E. Passage to Liick Madsen groups 58
3F. Passage from Browder Quinn groups 61
3G. Restrictions to subgroups 67
4. Appendix. Stratifications of smooth G manifolds 67
References for Chapter II 75
III. Periodicity theorems in equivariant surgery 80
1. Products in equivariant surgery 83
2. Statements of periodicity theorems 86
3. Permutation actions on product manifolds 92
4. Orbit sequences and product operations 97
5. Periodic stabilization 101
5A. Stable stepwise surgery obstructions 101
5B. Unstable surgery obstruction groups 104
5C. Splitting theorems 106
References for Chapter III Ill
VI
IV. Twisted product formulas for
SURGERY WITH COEFFICIENTS 115
1. Basic definitions and results 116
2. Algebraic description of geometric L groups 121
3. Technical remarks 125
4. Projective and subprojective Wall groups 128
5. Cappell Shaneson F groups 131
6. Applications to periodicity theorems 133
References for Chapter IV 138
V. Products and periodicity for
SURGERY UP TO PSEUDOEQUIVALENCE 141
1. The setting 142
2. The main results 149
3. Stepwise obstructions and addition 151
4. Restriction morphisms 160
5. Projective class group obstructions 163
6. An exact sequence 171
7. Products and stepwise obstructions 175
8. Proofs of main results 180
9. Appendix. A result on Wall groups 187
References for Chapter V 189
Index to Numbered Items 192
Index to Notation 194
Subject Index 204 |
| any_adam_object | 1 |
| author | Dovermann, Karl Heinz Schultz, Reinhard |
| author_facet | Dovermann, Karl Heinz Schultz, Reinhard |
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| author_sort | Dovermann, Karl Heinz |
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| dewey-raw | 510 514/.72 |
| dewey-search | 510 514/.72 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV003675822 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T07:36:48Z |
| institution | BVB |
| isbn | 3540530428 0387530428 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002339110 |
| oclc_num | 243434094 |
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| physical | VI, 227 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Dovermann, Karl Heinz Verfasser aut Equivariant surgery theories and their periodicity properties Karl Heinz Dovermann ; Reinhard Schultz Berlin [u.a.] Springer 1990 VI, 227 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1443 Chirurgie (Topologie) Groupes topologiques de transformation K-théorie Manifolds gtt Transformatiegroepen gtt K-theory Surgery (Topology) Topological transformation groups Chirurgie Mathematik (DE-588)4200269-2 gnd rswk-swf Äquivariante Chirurgie Mathematik (DE-588)4248524-1 gnd rswk-swf Periodizität (DE-588)4248522-8 gnd rswk-swf Äquivariante Chirurgie Mathematik (DE-588)4248524-1 s Periodizität (DE-588)4248522-8 s DE-604 Chirurgie Mathematik (DE-588)4200269-2 s Schultz, Reinhard Verfasser aut Lecture notes in mathematics 1443 (DE-604)BV000676446 1443 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002339110&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dovermann, Karl Heinz Schultz, Reinhard Equivariant surgery theories and their periodicity properties Lecture notes in mathematics Chirurgie (Topologie) Groupes topologiques de transformation K-théorie Manifolds gtt Transformatiegroepen gtt K-theory Surgery (Topology) Topological transformation groups Chirurgie Mathematik (DE-588)4200269-2 gnd Äquivariante Chirurgie Mathematik (DE-588)4248524-1 gnd Periodizität (DE-588)4248522-8 gnd |
| subject_GND | (DE-588)4200269-2 (DE-588)4248524-1 (DE-588)4248522-8 |
| title | Equivariant surgery theories and their periodicity properties |
| title_auth | Equivariant surgery theories and their periodicity properties |
| title_exact_search | Equivariant surgery theories and their periodicity properties |
| title_full | Equivariant surgery theories and their periodicity properties Karl Heinz Dovermann ; Reinhard Schultz |
| title_fullStr | Equivariant surgery theories and their periodicity properties Karl Heinz Dovermann ; Reinhard Schultz |
| title_full_unstemmed | Equivariant surgery theories and their periodicity properties Karl Heinz Dovermann ; Reinhard Schultz |
| title_short | Equivariant surgery theories and their periodicity properties |
| title_sort | equivariant surgery theories and their periodicity properties |
| topic | Chirurgie (Topologie) Groupes topologiques de transformation K-théorie Manifolds gtt Transformatiegroepen gtt K-theory Surgery (Topology) Topological transformation groups Chirurgie Mathematik (DE-588)4200269-2 gnd Äquivariante Chirurgie Mathematik (DE-588)4248524-1 gnd Periodizität (DE-588)4248522-8 gnd |
| topic_facet | Chirurgie (Topologie) Groupes topologiques de transformation K-théorie Manifolds Transformatiegroepen K-theory Surgery (Topology) Topological transformation groups Chirurgie Mathematik Äquivariante Chirurgie Mathematik Periodizität |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002339110&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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