Equivariant orthogonal spectra and S-modules:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
2002
|
| Series: | Memoirs of the American Mathematical Society
755 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 159, number 755 (second of 5 numbers)." |
| Physical Description: | IX, 108 S. |
| ISBN: | 082182936X |
Staff View
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| 245 | 1 | 0 | |a Equivariant orthogonal spectra and S-modules |c M. A. Mandell ; J. P. May |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2002 | |
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Record in the Search Index
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| adam_text | Contents
Introduction ]
Chapter I. Orthogonal spectra and S modules 3
1. Introduction and statements of results 3
2. Right exact functors on categories of diagram spaces 5
3. The proofs of the comparison theorems 8
4. Further Quillen equivalences and homotopical preliminaries 12
5. Model structures and homotopical proofs 16
6. The construction of the functor N* 18
7. The functor M and its comparison with N 22
8. A revisionist view of infinite loop space theory 26
Chapter II. Equivariant orthogonal spectra 29
1. Preliminaries on equivariant categories 29
2. The definition of orthogonal G spectra 31
3. The smash product of orthogonal G spectra 33
4. A description of orthogonal G spectra as diagram G spaces 35
Chapter III. Model categories of orthogonal G spectra 38
1. The model structure on G spaccs 38
2. The level model structure on orthogonal G spectra 41
3. The homotopy groups of G prespectra 44
4. The stable model structure on orthogonal G spectra 47
5. The positive stable model structure 51
6. Stable equivalences of orthogonal G spectra 52
7. Model categories of ring and module G spectra 53
8. The model category of commutative ring G spectra 55
9. Level equivalences and ^. isomorphisms of O G spectra 57
Chapter IV. Orthogonal G spectra and Sc modules 59
1. Introduction and statements of results 59
2. Model structures on the category of Sg modules 61
3. The construction of the functors N and N# 65
4. The proofs of the comparison theorems 67
5. The functor M and its comparison with N 68
6. Families, cofamilies, and Bousfield localization 69
Chapter V. Change functors for orthogonal G spectra 74
1. Change of universe 74
2. Change of groups 77
3. Fixed point and orbit spectra 79
vii
viii CONTENTS
4. Geometric fixed point spectra 82
Chapter VI. Change functors for S^ modules and comparisons 88
1. Comparisons of change of group functors 88
2. Comparisons of change of universe functors 91
3. Comparisons of fixed point and orbit G spectra functors 96
4. TV free G spectra and the Adams isomorphism 99
5. The geometric fixed point functor and quotient groups 100
6. Technical results on the unit map A : IE — E 101
Bibliography 103
Index of Notation 105
|
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| id | DE-604.BV014486401 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:03:02Z |
| institution | BVB |
| isbn | 082182936X |
| language | English |
| lccn | 2002025579 |
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| physical | IX, 108 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
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| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Mandell, M. A. 1970- Verfasser (DE-588)173564429 aut Equivariant orthogonal spectra and S-modules M. A. Mandell ; J. P. May Providence, RI American Mathematical Society 2002 IX, 108 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 755 "Volume 159, number 755 (second of 5 numbers)." Homotopie gtt Categories (Mathematics) Homotopy theory Kategorie Mathematik (DE-588)4129930-9 gnd rswk-swf Homotopie (DE-588)4025803-8 gnd rswk-swf Homotopie (DE-588)4025803-8 s DE-604 Kategorie Mathematik (DE-588)4129930-9 s May, J. Peter Sonstige oth Memoirs of the American Mathematical Society 755 (DE-604)BV008000141 755 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009879667&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mandell, M. A. 1970- Equivariant orthogonal spectra and S-modules Memoirs of the American Mathematical Society Homotopie gtt Categories (Mathematics) Homotopy theory Kategorie Mathematik (DE-588)4129930-9 gnd Homotopie (DE-588)4025803-8 gnd |
| subject_GND | (DE-588)4129930-9 (DE-588)4025803-8 |
| title | Equivariant orthogonal spectra and S-modules |
| title_auth | Equivariant orthogonal spectra and S-modules |
| title_exact_search | Equivariant orthogonal spectra and S-modules |
| title_full | Equivariant orthogonal spectra and S-modules M. A. Mandell ; J. P. May |
| title_fullStr | Equivariant orthogonal spectra and S-modules M. A. Mandell ; J. P. May |
| title_full_unstemmed | Equivariant orthogonal spectra and S-modules M. A. Mandell ; J. P. May |
| title_short | Equivariant orthogonal spectra and S-modules |
| title_sort | equivariant orthogonal spectra and s modules |
| topic | Homotopie gtt Categories (Mathematics) Homotopy theory Kategorie Mathematik (DE-588)4129930-9 gnd Homotopie (DE-588)4025803-8 gnd |
| topic_facet | Homotopie Categories (Mathematics) Homotopy theory Kategorie Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009879667&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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