The topology of fibre bundles:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton, NJ
Princeton University Press
1974
|
| Ausgabe: | Nineth printing |
| Schriftenreihe: | Princeton mathematical series
14 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 229 Seiten Illustrationen, Diagramme |
| ISBN: | 9780691080550 0691080550 |
Internformat
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| 245 | 1 | 0 | |a The topology of fibre bundles |c by Norman Steenrod |
| 250 | |a Nineth printing | ||
| 264 | 1 | |a Princeton, NJ |b Princeton University Press |c 1974 | |
| 300 | |a VIII, 229 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Princeton mathematical series |v 14 | |
| 505 | 8 | |a Cover -- Title -- Copyright -- Preface -- Contents -- Part I. THE GENERAL THEORY OF BUNDLES -- 1. Introduction -- 2. Coordinate bundles and fibre bundles -- 3. Construction of a bundle from coordinate | |
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Datensatz im Suchindex
| _version_ | 1804117256682078208 |
|---|---|
| adam_text | Contents
Part I. The General Theory of Bundles
1. Introduction 3
2. Coordinate bundles and fibre bundles 6
3. Construction of a bundle from coordinate transformations . 14
4. The product bundle 16
5. The Ehresmann Feldbau definition of bundle 18
6. Differentiate manifolds and tensor bundles 20
7. Factor spaces of groups 28
8. The principal bundle and the principal map 35
9. Associated bundles and relative bundles 43
10. The induced bundle 47
11. Homotopies of maps of bundles 49
12. Construction of cross sections 54
13. Bundles having a totally disconnected group 59
14. Covering spaces 67
Part II. The Homotopy Theory or Bundles
15. Homotopy groups 72
16. The operations of iri on vn 83
17. The homotopy sequence of a bundle 90
18. The classification of bundles over the n sphere .... 96
19. Universal bundles and the classification theorem.... 100
20. The fibering of spheres by spheres 105
21. The homotopy groups of spheres 110
22. Homotopy groups of the orthogonal groups 114
23. A characteristic map for the bundle Rn+ over S ... 118
24. A characteristic map for the bundle [/„ over S2 1 . . . 124
25. The homotopy groups of miscellaneous manifolds . . . 131
26. Sphere bundles over spheres 134
27. The tangent bundle of S 140
28. On the non existence of fiberings of spheres by spheres . . 144
Part III. The Cohomology Theory of Bundles
29. The stepwise extension of a cross section 148
30. Bundles of coefficients 151
vii
viii CONTENTS
31. Cohomology groups based on a bundle of coefficients . . 155
32. The obstruction cocycle 166
33. The difference cochain 169
34. Extension and deformation theorems 174
35. The primary obstruction and the characteristic cohomology
class 177
36. The primary difference of two cross sections 181
37. Extensions of functions, and the homotopy classification of
maps • 184
38. The Whitney characteristic classes of a sphere bundle . . 190
39. The Stiefel characteristic classes of differentiable manifolds . 199
40. Quadratic forms on manifolds 204
41. Complex analytic manifolds and exterior forms of degree 2. 209
Appendix 218
Bibliography 223
Index 228
|
| any_adam_object | 1 |
| author | Steenrod, Norman Earl 1910-1971 |
| author_GND | (DE-588)119445689 |
| author_facet | Steenrod, Norman Earl 1910-1971 |
| author_role | aut |
| author_sort | Steenrod, Norman Earl 1910-1971 |
| author_variant | n e s ne nes |
| building | Verbundindex |
| bvnumber | BV002965217 |
| classification_rvk | SK 300 |
| contents | Cover -- Title -- Copyright -- Preface -- Contents -- Part I. THE GENERAL THEORY OF BUNDLES -- 1. Introduction -- 2. Coordinate bundles and fibre bundles -- 3. Construction of a bundle from coordinate |
| ctrlnum | (OCoLC)313549404 (DE-599)BVBBV002965217 |
| discipline | Mathematik |
| edition | Nineth printing |
| format | Book |
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| id | DE-604.BV002965217 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:51:31Z |
| institution | BVB |
| isbn | 9780691080550 0691080550 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001856518 |
| oclc_num | 313549404 |
| open_access_boolean | |
| owner | DE-384 DE-824 DE-29T DE-188 |
| owner_facet | DE-384 DE-824 DE-29T DE-188 |
| physical | VIII, 229 Seiten Illustrationen, Diagramme |
| publishDate | 1974 |
| publishDateSearch | 1974 |
| publishDateSort | 1974 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Princeton mathematical series |
| series2 | Princeton mathematical series |
| spelling | Steenrod, Norman Earl 1910-1971 (DE-588)119445689 aut The topology of fibre bundles by Norman Steenrod Nineth printing Princeton, NJ Princeton University Press 1974 VIII, 229 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Princeton mathematical series 14 Cover -- Title -- Copyright -- Preface -- Contents -- Part I. THE GENERAL THEORY OF BUNDLES -- 1. Introduction -- 2. Coordinate bundles and fibre bundles -- 3. Construction of a bundle from coordinate Topologie (DE-588)4060425-1 gnd rswk-swf Faserbündel (DE-588)4135582-9 gnd rswk-swf Faserbündel (DE-588)4135582-9 s Topologie (DE-588)4060425-1 s DE-604 Princeton mathematical series 14 (DE-604)BV000019035 14 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001856518&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Steenrod, Norman Earl 1910-1971 The topology of fibre bundles Princeton mathematical series Cover -- Title -- Copyright -- Preface -- Contents -- Part I. THE GENERAL THEORY OF BUNDLES -- 1. Introduction -- 2. Coordinate bundles and fibre bundles -- 3. Construction of a bundle from coordinate Topologie (DE-588)4060425-1 gnd Faserbündel (DE-588)4135582-9 gnd |
| subject_GND | (DE-588)4060425-1 (DE-588)4135582-9 |
| title | The topology of fibre bundles |
| title_auth | The topology of fibre bundles |
| title_exact_search | The topology of fibre bundles |
| title_full | The topology of fibre bundles by Norman Steenrod |
| title_fullStr | The topology of fibre bundles by Norman Steenrod |
| title_full_unstemmed | The topology of fibre bundles by Norman Steenrod |
| title_short | The topology of fibre bundles |
| title_sort | the topology of fibre bundles |
| topic | Topologie (DE-588)4060425-1 gnd Faserbündel (DE-588)4135582-9 gnd |
| topic_facet | Topologie Faserbündel |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001856518&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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