Topics in the homology theory of fibre bundles: lectures given at the University of Chicago, 1954
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1967
|
| Series: | Lecture notes in mathematics
36 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 95 S. |
Staff View
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| 245 | 1 | 0 | |a Topics in the homology theory of fibre bundles |b lectures given at the University of Chicago, 1954 |c Armand Borel. Notes by Edward Halpern |
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| 490 | 1 | |a Lecture notes in mathematics |v 36 | |
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Record in the Search Index
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|---|---|
| adam_text | TABLE OF CONTENTS
Chapter I. The homological properties of H-spaces.
1. Algebraic preliminaries. 1.
2. Topological preliminaries. 2.
3. Structure theorem for Hopf algebras. 4.
4. Primitive elements, Samelson s theorem. 11.
5. The Pontrjagin product. 14.
6. Homology of H-spaces. 17.
7. Spaces on which an H-space operates. 19.
Bibliography 25.
Chapter II. Spectral sequence of a fibre bundle.
8. Differential and filtered modules. 26.
9. Notion of a spectral sequence. 28.
10. Spectral sequence of a differential filtered module. 29-
11. Systems of local coefficients. 31.
12. Fibre bundles. 33.
13. Spectral sequences of a fibre bundle. 37.
14. Some simple applications. 41.
15. Pairing of the spectral sequence of a principal bundle with the
homology of the structural group. 46.
Bibliography. 51.
Chapter III. Universal bundles and classifying spaces.
16. Universal bundles and classifying spaces. 52.
17. p(U,G) : three fiberings involving classifying spaces. 55.
18. Some results on universal spectral sequences. 56.
19. Proof of one theorem on universal spectral sequences. 57.
20. Invariants of the Weyl group and classifying spaces. The Hirsch
formula. 64.
Bibliography. 7o.
Chapter IV. Classifying spaces of the classical groups.
21. Unitary groups. 71.
22. Orthogonal groups, cohomology mod 2. 75.
23. Orthogonal groups, cohomology mod p i 2. 82.
24. Integral cohomology of Bq^ and Bg0^n^. 84.
25. Stiefel-Whitney classes, Pontrjagin classes. 87.
Bibliography. 92.
Bibliographical notes and comments. 93.
|
| any_adam_object | 1 |
| author | Borel, Armand 1923-2003 |
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| bvnumber | BV002935642 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 SK 320 |
| ctrlnum | (OCoLC)300220306 (DE-599)BVBBV002935642 |
| dewey-full | 513.83 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 513 - Arithmetic |
| dewey-raw | 513.83 |
| dewey-search | 513.83 |
| dewey-sort | 3513.83 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| indexdate | 2024-07-09T15:51:04Z |
| institution | BVB |
| language | English |
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| physical | 95 S. |
| publishDate | 1967 |
| publishDateSearch | 1967 |
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| publisher | Springer |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Borel, Armand 1923-2003 Verfasser (DE-588)119089106 aut Topics in the homology theory of fibre bundles lectures given at the University of Chicago, 1954 Armand Borel. Notes by Edward Halpern Berlin [u.a.] Springer 1967 95 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 36 Fiber bundles (Mathematics) Homology theory Faserbündel (DE-588)4135582-9 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Faserbündel (DE-588)4135582-9 s Homologietheorie (DE-588)4141714-8 s DE-604 Lecture notes in mathematics 36 (DE-604)BV000676446 36 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001837955&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Borel, Armand 1923-2003 Topics in the homology theory of fibre bundles lectures given at the University of Chicago, 1954 Lecture notes in mathematics Fiber bundles (Mathematics) Homology theory Faserbündel (DE-588)4135582-9 gnd Homologietheorie (DE-588)4141714-8 gnd |
| subject_GND | (DE-588)4135582-9 (DE-588)4141714-8 |
| title | Topics in the homology theory of fibre bundles lectures given at the University of Chicago, 1954 |
| title_auth | Topics in the homology theory of fibre bundles lectures given at the University of Chicago, 1954 |
| title_exact_search | Topics in the homology theory of fibre bundles lectures given at the University of Chicago, 1954 |
| title_full | Topics in the homology theory of fibre bundles lectures given at the University of Chicago, 1954 Armand Borel. Notes by Edward Halpern |
| title_fullStr | Topics in the homology theory of fibre bundles lectures given at the University of Chicago, 1954 Armand Borel. Notes by Edward Halpern |
| title_full_unstemmed | Topics in the homology theory of fibre bundles lectures given at the University of Chicago, 1954 Armand Borel. Notes by Edward Halpern |
| title_short | Topics in the homology theory of fibre bundles |
| title_sort | topics in the homology theory of fibre bundles lectures given at the university of chicago 1954 |
| title_sub | lectures given at the University of Chicago, 1954 |
| topic | Fiber bundles (Mathematics) Homology theory Faserbündel (DE-588)4135582-9 gnd Homologietheorie (DE-588)4141714-8 gnd |
| topic_facet | Fiber bundles (Mathematics) Homology theory Faserbündel Homologietheorie |
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| work_keys_str_mv | AT borelarmand topicsinthehomologytheoryoffibrebundleslecturesgivenattheuniversityofchicago1954 |