Homotopy theoretic methods in group cohomology:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
2001
|
| Schriftenreihe: | Advanced courses in mathematics - CRM Barcelona
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 98 S.: 24 cm |
| ISBN: | 3764366052 |
Internformat
MARC
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| 490 | 0 | |a Advanced courses in mathematics - CRM Barcelona | |
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Datensatz im Suchindex
| _version_ | 1804128664589172737 |
|---|---|
| adam_text | Contents
Preface ix
Classifying Spaces and Homology Decompositions
William G. Dwyer
1 Introduction 1
2 Classifying spaces 2
3 Simplicial complexes and simplicial sets 6
4 Simplicial spaces and homotopy colimits 16
5 Nerves of categories and the Grothendieck construction 22
6 Homotopy orbit spaces 26
7 Homology decompositions 28
8 Sharp homology decompositions. Examples 33
9 Reinterpreting the homotopy colimit spectral sequence 36
10 Bredon homology and the transfer 40
11 Acyclicity for G spaces 43
12 Non identity p subgroups 45
13 Elementary abelian p subgroups 46
14 Appendix 49
References 51
viii Contents
Cohomology of Groups and Unstable Modules
over the Steenrod Algebra
Hans Werner Henn
0 Introduction 55
1 Cohomology of groups 57
1.1 Some fundamental structural results for cohomology groups
and cohomology rings of finite groups 57
1.2 Quillen s F isomorphism theorem 58
2 Quillen s F isomorphism theorem from
the point of view of unstable modules 63
2.1 Unstable modules over the Steenrod algebra 63
2.2 Quillen s F isomorphism theorem from the point of view
of unstable modules 66
3 Lannes T functor and Lannes generalization
of Quillen s theorem 68
3.1 Review of Lannes T functor 68
3.2 Lannes generalization of Quillen s theorem 71
3.3 An outline of a proof of Quillen s Theorem 74
4 Approximations up to higher nilpotency 75
4.1 Localizations in abelian categories 75
4.2 Localization away from n nilpotent modules 77
5 Commutative algebra of unstable i/*BG modules;
approximations of H*BG up to torsion modules 83
6 The centralizer spectral sequence 90
References 96
|
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| ctrlnum | (OCoLC)472328447 (DE-599)BVBBV013832927 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013832927 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:52:50Z |
| institution | BVB |
| isbn | 3764366052 |
| language | English |
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| physical | VIII, 98 S.: 24 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
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| publisher | Birkhäuser |
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| series2 | Advanced courses in mathematics - CRM Barcelona |
| spelling | Homotopy theoretic methods in group cohomology William G. Dwyer ; Hans-Werner Henn Boston [u.a.] Birkhäuser 2001 VIII, 98 S.: 24 cm txt rdacontent n rdamedia nc rdacarrier Advanced courses in mathematics - CRM Barcelona Homology theory Homotopy theory Kohomologietheorie (DE-588)4164610-1 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Homotopietheorie (DE-588)4128142-1 s Gruppentheorie (DE-588)4072157-7 s DE-604 Kohomologietheorie (DE-588)4164610-1 s Dwyer, William G. Sonstige oth Henn, Hans-Werner Sonstige oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009461204&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Homotopy theoretic methods in group cohomology Homology theory Homotopy theory Kohomologietheorie (DE-588)4164610-1 gnd Gruppentheorie (DE-588)4072157-7 gnd Homotopietheorie (DE-588)4128142-1 gnd |
| subject_GND | (DE-588)4164610-1 (DE-588)4072157-7 (DE-588)4128142-1 (DE-588)4143413-4 |
| title | Homotopy theoretic methods in group cohomology |
| title_auth | Homotopy theoretic methods in group cohomology |
| title_exact_search | Homotopy theoretic methods in group cohomology |
| title_full | Homotopy theoretic methods in group cohomology William G. Dwyer ; Hans-Werner Henn |
| title_fullStr | Homotopy theoretic methods in group cohomology William G. Dwyer ; Hans-Werner Henn |
| title_full_unstemmed | Homotopy theoretic methods in group cohomology William G. Dwyer ; Hans-Werner Henn |
| title_short | Homotopy theoretic methods in group cohomology |
| title_sort | homotopy theoretic methods in group cohomology |
| topic | Homology theory Homotopy theory Kohomologietheorie (DE-588)4164610-1 gnd Gruppentheorie (DE-588)4072157-7 gnd Homotopietheorie (DE-588)4128142-1 gnd |
| topic_facet | Homology theory Homotopy theory Kohomologietheorie Gruppentheorie Homotopietheorie Aufsatzsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009461204&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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