Splitting theorems for certain equivariant spectra:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
2000
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
686 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 144, Number 686 (fourth of 5 numbers) |
| Physical Description: | IX, 89 S. |
| ISBN: | 082182046X |
Staff View
MARC
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| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c 2000 | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Introduction 1
Notational conventions 5
Part 1. Geometrically Split Spectra 7
Section 1. The notion of a geometrically split G spectrum 8
Section 2. Geometrically split G spectra and G fixed point spectra 11
Section 3. Geometrically split G spectra and IT fixed point spectra 15
Section 4. Geometrically split spectra and finite groups 21
Section 5. The stable orbit category for an incomplete universe 25
Part 2. A Toolkit for Incomplete Universes 29
Section 6. A vanishing theorem for fixed point spectra 30
Section 7. Spanier Whitehead duality and incomplete universes 32
Section 8. Change of group functors and families of subgroups 33
Section 9. Change of universe functors and families of subgroups 38
Section 10. The geometric fixed point functor $A for incomplete universes 40
Section 11. The Wirthmiiller isomorphism for incomplete universes 44
Section 12. An introduction to the Adams isomorphism for incomplete
universes 50
Part 3. The Longer Proofs 55
Section 13. The proof of Proposition 3.10 and its consequences 56
Section 14. The proofs of the main splitting theorems 61
Section 15. The proof of the sharp Wirthmuller isomorphism theorem 65
Section 16. The proof of the Adams isomorphism theorem for incomplete
universes 68
Section 17. The Adams transfer for incomplete universes 75
vij
viii CONTENTS
Acknowledgments 87
Bibliography 88
|
| any_adam_object | 1 |
| author | Lewis, Lemoine G. 1949-2006 |
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| ctrlnum | (OCoLC)42861686 (DE-599)BVBBV013137007 |
| dewey-full | 514/.24 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology 510 - Mathematics |
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| dewey-search | 514/.24 510 |
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| discipline | Mathematik |
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| id | DE-604.BV013137007 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:39:39Z |
| institution | BVB |
| isbn | 082182046X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008949154 |
| oclc_num | 42861686 |
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| physical | IX, 89 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Lewis, Lemoine G. 1949-2006 Verfasser (DE-588)172490383 aut Splitting theorems for certain equivariant spectra L. Gaunce Lewis, Jr. Providence, Rhode Island American Mathematical Society 2000 IX, 89 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 686 Volume 144, Number 686 (fourth of 5 numbers) Homologia larpcal Homotopia larpcal Lie-groepen gtt Topologia algebrica larpcal Topologie gtt Algebraic topology Homotopy theory Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 s Algebraische Topologie (DE-588)4120861-4 s DE-604 American Mathematical Society: Memoirs of the American Mathematical Society 686 (DE-604)BV008000141 686 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008949154&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lewis, Lemoine G. 1949-2006 Splitting theorems for certain equivariant spectra American Mathematical Society: Memoirs of the American Mathematical Society Homologia larpcal Homotopia larpcal Lie-groepen gtt Topologia algebrica larpcal Topologie gtt Algebraic topology Homotopy theory Algebraische Topologie (DE-588)4120861-4 gnd Homotopietheorie (DE-588)4128142-1 gnd |
| subject_GND | (DE-588)4120861-4 (DE-588)4128142-1 |
| title | Splitting theorems for certain equivariant spectra |
| title_auth | Splitting theorems for certain equivariant spectra |
| title_exact_search | Splitting theorems for certain equivariant spectra |
| title_full | Splitting theorems for certain equivariant spectra L. Gaunce Lewis, Jr. |
| title_fullStr | Splitting theorems for certain equivariant spectra L. Gaunce Lewis, Jr. |
| title_full_unstemmed | Splitting theorems for certain equivariant spectra L. Gaunce Lewis, Jr. |
| title_short | Splitting theorems for certain equivariant spectra |
| title_sort | splitting theorems for certain equivariant spectra |
| topic | Homologia larpcal Homotopia larpcal Lie-groepen gtt Topologia algebrica larpcal Topologie gtt Algebraic topology Homotopy theory Algebraische Topologie (DE-588)4120861-4 gnd Homotopietheorie (DE-588)4128142-1 gnd |
| topic_facet | Homologia Homotopia Lie-groepen Topologia algebrica Topologie Algebraic topology Homotopy theory Algebraische Topologie Homotopietheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008949154&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT lewislemoineg splittingtheoremsforcertainequivariantspectra |