Homogeneous spaces with the cohomology of sphere products and compact quadrangles:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2002
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Würzburg, Univ., Diss., 2002 |
| Beschreibung: | XIV, 97 S. |
Internformat
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Datensatz im Suchindex
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CONTENTS
PREFACE V
NOTATION XIII
1 FIBRATIONS AND DOUBLE FIBRATIONS 1
1.1 FIBRATIONS. 1
1.2 DOUBLE FIBRATIONS. 2
2 LIE GROUP ACTIONS 11
2.1 LIE THEORY. 12
2.2 GROUP ACTIONS. 18
2.3 TRANSITIVE ACTIONS. 21
2.4 HOMOGENEOUS SPHERES. 22
2.5 ALMOST TRANSITIVE ACTIONS. 26
3 ISOPARAMETRIC HYPERSURFACES 33
3.1 HOMOGENEOUS HYPERSURFACES. 33
3.2 TRANSITIVE ACTIONS ON FOCAL MANIFOLDS. 35
4 GENERALIZED QUADRANGLES 39
4.1 GEOMETRIES AND GENERALIZED QUADRANGLES.39
4.2 HOMOGENEOUS QUADRANGLES. 42
4.3 POINT-HOMOGENEOUS (1,2)-QUADRANGLES. 47
4.4 ORTHOGONAL ACTIONS.49
XI
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/967127726
XII
CONTENTS
4.5 UNITARY ACTIONS.51
4.6 SUMMARY . 53
5
THREE SERIES OF HOMOGENEOUS SPACES
55
5.1 THE (5,
AN - 6)-SERIES. 55
5.2 THE (7,4N - 8)-SERIES. 58
5.3 THE (3,2N - 2)-SERIES.59
6 RATIONAL COHOMOLOGY 61
6.1 ORIENTABLE FIBRATIONS.62
6.2 SPECTRAL SEQUENCES . 68
6.3 RATIONAL HOMOTOPY AND RATIONAL COHOMOLOGY.74
6.4 COHOMOLOGY OF SOME HOMOGENEOUS SPACES.79
BIBLIOGRAPHY 89
INDEX
94 |
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| author | Bletz-Siebert, Oliver |
| author_facet | Bletz-Siebert, Oliver |
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| author_sort | Bletz-Siebert, Oliver |
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| building | Verbundindex |
| bvnumber | BV016412946 |
| ctrlnum | (OCoLC)643099914 (DE-599)BVBBV016412946 |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV016412946 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-22T17:35:25Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010151122 |
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| owner_facet | DE-20 DE-12 |
| physical | XIV, 97 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
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| spelling | Bletz-Siebert, Oliver Verfasser aut Homogeneous spaces with the cohomology of sphere products and compact quadrangles von Oliver Bletz-Siebert 2002 XIV, 97 S. txt rdacontent n rdamedia nc rdacarrier Würzburg, Univ., Diss., 2002 Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Isoparametrische Hyperfläche (DE-588)4704530-9 gnd rswk-swf Gruppenoperation (DE-588)4158467-3 gnd rswk-swf Faserung Mathematik (DE-588)4472884-0 gnd rswk-swf Homogener Raum (DE-588)4025787-3 gnd rswk-swf Verallgemeinertes Viereck (DE-588)4187518-7 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Homogener Raum (DE-588)4025787-3 s Kohomologie (DE-588)4031700-6 s DE-604 Verallgemeinertes Viereck (DE-588)4187518-7 s Isoparametrische Hyperfläche (DE-588)4704530-9 s Faserung Mathematik (DE-588)4472884-0 s Lie-Gruppe (DE-588)4035695-4 s Gruppenoperation (DE-588)4158467-3 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010151122&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bletz-Siebert, Oliver Homogeneous spaces with the cohomology of sphere products and compact quadrangles Lie-Gruppe (DE-588)4035695-4 gnd Isoparametrische Hyperfläche (DE-588)4704530-9 gnd Gruppenoperation (DE-588)4158467-3 gnd Faserung Mathematik (DE-588)4472884-0 gnd Homogener Raum (DE-588)4025787-3 gnd Verallgemeinertes Viereck (DE-588)4187518-7 gnd Kohomologie (DE-588)4031700-6 gnd |
| subject_GND | (DE-588)4035695-4 (DE-588)4704530-9 (DE-588)4158467-3 (DE-588)4472884-0 (DE-588)4025787-3 (DE-588)4187518-7 (DE-588)4031700-6 (DE-588)4113937-9 |
| title | Homogeneous spaces with the cohomology of sphere products and compact quadrangles |
| title_auth | Homogeneous spaces with the cohomology of sphere products and compact quadrangles |
| title_exact_search | Homogeneous spaces with the cohomology of sphere products and compact quadrangles |
| title_full | Homogeneous spaces with the cohomology of sphere products and compact quadrangles von Oliver Bletz-Siebert |
| title_fullStr | Homogeneous spaces with the cohomology of sphere products and compact quadrangles von Oliver Bletz-Siebert |
| title_full_unstemmed | Homogeneous spaces with the cohomology of sphere products and compact quadrangles von Oliver Bletz-Siebert |
| title_short | Homogeneous spaces with the cohomology of sphere products and compact quadrangles |
| title_sort | homogeneous spaces with the cohomology of sphere products and compact quadrangles |
| topic | Lie-Gruppe (DE-588)4035695-4 gnd Isoparametrische Hyperfläche (DE-588)4704530-9 gnd Gruppenoperation (DE-588)4158467-3 gnd Faserung Mathematik (DE-588)4472884-0 gnd Homogener Raum (DE-588)4025787-3 gnd Verallgemeinertes Viereck (DE-588)4187518-7 gnd Kohomologie (DE-588)4031700-6 gnd |
| topic_facet | Lie-Gruppe Isoparametrische Hyperfläche Gruppenoperation Faserung Mathematik Homogener Raum Verallgemeinertes Viereck Kohomologie Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010151122&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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