Generalized Tate cohomology
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| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Math. Soc.
1995
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
543 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 100 | 1 | |a Greenlees, J. P. C. |d 1959- |e Verfasser |0 (DE-588)1012031497 |4 aut | |
| 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. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 543 | |
| 500 | |a Volume 113, Number 543 (third of 4 numbers) | ||
| 650 | 0 | 7 | |a Homologietheorie |0 (DE-588)4141714-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Homologietheorie |0 (DE-588)4141714-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a May, Jon Peter |d 1939- |e Verfasser |0 (DE-588)122391810 |4 aut | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 543 |w (DE-604)BV008000141 |9 543 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-006715274 | |
Datensatz im Suchindex
| DE-19_call_number | 1601/SI 810-543 |
|---|---|
| DE-19_location | 95 |
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 990 |
| DE-BY-TUM_katkey | 847358 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040020213336 |
| DE-BY-UBM_katkey | 2227564 |
| DE-BY-UBM_media_number | 41602191820010 |
| DE-BY-UBR_call_number | 8024/SA 2285 |
| DE-BY-UBR_katkey | 2146328 |
| DE-BY-UBR_media_number | TEMP12596329 |
| _version_ | 1823051886902640640 |
| 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- |
| author_GND | (DE-588)1012031497 (DE-588)122391810 |
| author_facet | Greenlees, J. P. C. 1959- May, Jon Peter 1939- |
| author_role | aut aut |
| author_sort | Greenlees, J. P. C. 1959- |
| author_variant | j p c g jpc jpcg j p m jp jpm |
| 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 | 2025-02-03T16:44:36Z |
| institution | BVB |
| isbn | 0821826034 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006715274 |
| oclc_num | 246284212 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-824 DE-29T DE-12 DE-739 DE-384 DE-91G DE-BY-TUM DE-19 DE-BY-UBM DE-83 DE-188 |
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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 |
| 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 |