Homotopy theoretic methods in group cohomology:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
2001
|
| Series: | Advanced courses in mathematics - CRM Barcelona
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 98 S.: 24 cm |
| ISBN: | 3764366052 |
Staff View
MARC
| LEADER | 00000nam a22000008c 4500 | ||
|---|---|---|---|
| 001 | BV013832927 | ||
| 003 | DE-604 | ||
| 005 | 20011030 | ||
| 007 | t | ||
| 008 | 010717s2001 gw |||| 00||| eng d | ||
| 016 | 7 | |a 961923806 |2 DE-101 | |
| 020 | |a 3764366052 |9 3-7643-6605-2 | ||
| 035 | |a (OCoLC)472328447 | ||
| 035 | |a (DE-599)BVBBV013832927 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-355 |a DE-11 | ||
| 084 | |a SK 300 |0 (DE-625)143230: |2 rvk | ||
| 084 | |a SK 320 |0 (DE-625)143231: |2 rvk | ||
| 245 | 1 | 0 | |a Homotopy theoretic methods in group cohomology |c William G. Dwyer ; Hans-Werner Henn |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 2001 | |
| 300 | |a VIII, 98 S.: 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Advanced courses in mathematics - CRM Barcelona | |
| 650 | 4 | |a Homology theory | |
| 650 | 4 | |a Homotopy theory | |
| 650 | 0 | 7 | |a Kohomologietheorie |0 (DE-588)4164610-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Gruppentheorie |0 (DE-588)4072157-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Homotopietheorie |0 (DE-588)4128142-1 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4143413-4 |a Aufsatzsammlung |2 gnd-content | |
| 689 | 0 | 0 | |a Homotopietheorie |0 (DE-588)4128142-1 |D s |
| 689 | 0 | 1 | |a Gruppentheorie |0 (DE-588)4072157-7 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Gruppentheorie |0 (DE-588)4072157-7 |D s |
| 689 | 1 | 1 | |a Kohomologietheorie |0 (DE-588)4164610-1 |D s |
| 689 | 1 | 2 | |a Homotopietheorie |0 (DE-588)4128142-1 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Dwyer, William G. |e Sonstige |4 oth | |
| 700 | 1 | |a Henn, Hans-Werner |e Sonstige |4 oth | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009461204 | ||
Record in the Search Index
| _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
|
| any_adam_object | 1 |
| building | Verbundindex |
| bvnumber | BV013832927 |
| classification_rvk | SK 300 SK 320 |
| ctrlnum | (OCoLC)472328447 (DE-599)BVBBV013832927 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01895nam a22004938c 4500</leader><controlfield tag="001">BV013832927</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20011030 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">010717s2001 gw |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">961923806</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3764366052</subfield><subfield code="9">3-7643-6605-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)472328447</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013832927</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 300</subfield><subfield code="0">(DE-625)143230:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 320</subfield><subfield code="0">(DE-625)143231:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Homotopy theoretic methods in group cohomology</subfield><subfield code="c">William G. Dwyer ; Hans-Werner Henn</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston [u.a.]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 98 S.: 24 cm</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Advanced courses in mathematics - CRM Barcelona</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homology theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Homotopy theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kohomologietheorie</subfield><subfield code="0">(DE-588)4164610-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Gruppentheorie</subfield><subfield code="0">(DE-588)4072157-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Homotopietheorie</subfield><subfield code="0">(DE-588)4128142-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4143413-4</subfield><subfield code="a">Aufsatzsammlung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Homotopietheorie</subfield><subfield code="0">(DE-588)4128142-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Gruppentheorie</subfield><subfield code="0">(DE-588)4072157-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Gruppentheorie</subfield><subfield code="0">(DE-588)4072157-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Kohomologietheorie</subfield><subfield code="0">(DE-588)4164610-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Homotopietheorie</subfield><subfield code="0">(DE-588)4128142-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dwyer, William G.</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Henn, Hans-Werner</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009461204</subfield></datafield></record></collection> |
| genre | (DE-588)4143413-4 Aufsatzsammlung gnd-content |
| genre_facet | Aufsatzsammlung |
| id | DE-604.BV013832927 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:52:50Z |
| institution | BVB |
| isbn | 3764366052 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009461204 |
| oclc_num | 472328447 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-11 |
| physical | VIII, 98 S.: 24 cm |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Birkhäuser |
| record_format | marc |
| 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 |
| work_keys_str_mv | AT dwyerwilliamg homotopytheoreticmethodsingroupcohomology AT hennhanswerner homotopytheoreticmethodsingroupcohomology |