Generalized Tate cohomology:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Math. Soc.
1995
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
543 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 113, Number 543 (third of 4 numbers) |
| Physical Description: | VIII, 178 S. |
| ISBN: | 0821826034 |
Staff View
MARC
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| 245 | 1 | 0 | |a Generalized Tate cohomology |c J. P. C. Greenlees ; J. P. May |
| 264 | 1 | |a Providence, RI |b American Math. Soc. |c 1995 | |
| 300 | |a VIII, 178 S. | ||
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Record in the Search Index
| _version_ | 1804124505959825408 |
|---|---|
| adam_text | CONTENTS
Introduction 1
Part I: General theory
§0. Preamble: definitions, change of universe, and split G spectra 14
§1. Invariance properties of the functors /, c, and t 20
§2. Basic properties of the theories represented by f(kc), c(kc), and t(k.G) 23
§3. Homotopical behavior of the functors /, c, and t 26
§4. Completion at the augmentation ideal of the Burnside ring 30
§5. Transfer and the fixed point spectra of Tate G spectra 37
Part II: Eilenberg Maclane G spectra and the spectral sequences
§6. Eilenberg MacLane G spectra and their associated theories 43
§7. Mackey functors and coefficient systems 48
§8. Products in the theories associated to Eilenberg MacLane G spectra 52
§9. Chain level calculation of the coefficient groups 55
§10. The /, c, and t Tate Atiyah Hirzebruch spectral sequences 61
Part III: Specializations and calculations
§11. Tate Swan cohomology and the spectral sequences for finite groups 68
§12. Some remarks on nonequivariant stable homotopy theory 74
§13. The Tate X theory of finite groups and related calculations 78
§14. Cyclic cohomology and the spectral sequences for the circle group 83
§15. Calculations in homotopy and if theory for the circle group 90
§16. Free G spheres and periodicity phenomena 94
Part IV: The generalization to families
§17. Families and their /, c, and t G spectra 98
§18. Cohomological and homological completion phenomena 104
v
vi CONTENTS
§19. The generalized Tate G spectra of periodic If theory 107
§20. Theories associated to Mackey functors and coMackey functors 113
§21. Amitsur Dress Tate cohomology theories 119
§22. The generalized Tate Atiyah Hirzebruch spectral sequences 124
§23. Some calculational methods and examples: groups of order pq 129
§24. Equivariant root invariants of stable homotopy groups of spheres 135
§25. Proof of the root invariant theorem 142
Appendix A: Splittings of rational G spectra for finite groups G 146
Appendix B: Generalized Atiyah Hirzebruch spectral sequences 154
Bibliography 164
Index 168
|
| any_adam_object | 1 |
| author | Greenlees, J. P. C. 1959- May, Jon Peter 1939- |
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| author_sort | Greenlees, J. P. C. 1959- |
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| building | Verbundindex |
| bvnumber | BV010113277 |
| classification_rvk | SI 130 |
| classification_tum | MAT 552f |
| ctrlnum | (OCoLC)246284212 (DE-599)BVBBV010113277 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010113277 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:46:44Z |
| institution | BVB |
| isbn | 0821826034 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006715274 |
| oclc_num | 246284212 |
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| physical | VIII, 178 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Greenlees, J. P. C. 1959- Verfasser (DE-588)1012031497 aut Generalized Tate cohomology J. P. C. Greenlees ; J. P. May Providence, RI American Math. Soc. 1995 VIII, 178 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 543 Volume 113, Number 543 (third of 4 numbers) Homologietheorie (DE-588)4141714-8 gnd rswk-swf Homologietheorie (DE-588)4141714-8 s DE-604 May, Jon Peter 1939- Verfasser (DE-588)122391810 aut American Mathematical Society: Memoirs of the American Mathematical Society 543 (DE-604)BV008000141 543 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006715274&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Greenlees, J. P. C. 1959- May, Jon Peter 1939- Generalized Tate cohomology American Mathematical Society: Memoirs of the American Mathematical Society Homologietheorie (DE-588)4141714-8 gnd |
| subject_GND | (DE-588)4141714-8 |
| title | Generalized Tate cohomology |
| title_auth | Generalized Tate cohomology |
| title_exact_search | Generalized Tate cohomology |
| title_full | Generalized Tate cohomology J. P. C. Greenlees ; J. P. May |
| title_fullStr | Generalized Tate cohomology J. P. C. Greenlees ; J. P. May |
| title_full_unstemmed | Generalized Tate cohomology J. P. C. Greenlees ; J. P. May |
| title_short | Generalized Tate cohomology |
| title_sort | generalized tate cohomology |
| topic | Homologietheorie (DE-588)4141714-8 gnd |
| topic_facet | Homologietheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006715274&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT greenleesjpc generalizedtatecohomology AT mayjonpeter generalizedtatecohomology |