Lectures on the Eilenberg-Moore spectral sequence:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer-Verl.
1970
|
| Series: | Lecture notes in mathematics
134 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 142 S. |
Staff View
MARC
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| 650 | 4 | |a Topologie | |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Chapter I : The Eilenberg-Uoore Spectral Sequence 1
1. Reformulation as a Generalized Runneth Theorem 3
2. The Category of Spaces Over B 6
3. Cohomology Theories on (Top/B), 18
4. The Spectral Runneth Theorem on (Top/B), . 1 23
0. The Spectral Runneth Theorem on (Top/B), . II 32
6. The Eilenberg-Moore Spectral Sequence 47
Chapter II : Multiplicative Fibrations 54
1. Hopf Fibre Squares 56
2. Cohomology Hopf Algebras 62
3. Cohomology of Hopf Fibre Squares: E2 and Beyond 73
4. Conomology of Hopf Fibre Squares: A Differential....»0
5. Stable Postnikov Systems 89
6. Solvable and p-Solvable Hopf Algebras 96
7. The Generalized Cartan-Serre Theorem 107
8. Closing Comments 113
Chapter M : The Cobar Construction: Applications 118
1. The Cobar Construction 120
2. Cofibrations and J^ c) 123
3. On Differential Hopf Algebras Over Q 130
4. Applications to Rational Homotopy 135
|
| any_adam_object | 1 |
| author | Smith, Larry |
| author_facet | Smith, Larry |
| author_role | aut |
| author_sort | Smith, Larry |
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| bvnumber | BV002982979 |
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| callnumber-search | QA3L4V.134 |
| callnumber-sort | QA 13 L4 V 3134 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)251354395 (DE-599)BVBBV002982979 |
| 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 283 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV002982979 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:51:47Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001867413 |
| oclc_num | 251354395 |
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| physical | VI, 142 S. |
| psigel | HUB-ZB011201110 |
| publishDate | 1970 |
| publishDateSearch | 1970 |
| publishDateSort | 1970 |
| publisher | Springer-Verl. |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Smith, Larry Verfasser aut Lectures on the Eilenberg-Moore spectral sequence Larry Smith Berlin [u.a.] Springer-Verl. 1970 VI, 142 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 134 Eilenberg-Moore, Suites spectrales d' ram Mathématiques Topologie algèbre Hopf inriac cohomologie inriac espace fibré inriac homotopie inriac suite spectrale inriac système Postnikov inriac Eilenberg-Moore-Spektralsequenz (DE-588)4151218-2 gnd rswk-swf Eilenberg-Moore-Spektralsequenz (DE-588)4151218-2 s DE-604 Lecture notes in mathematics 134 (DE-604)BV000676446 134 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001867413&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Smith, Larry Lectures on the Eilenberg-Moore spectral sequence Lecture notes in mathematics Eilenberg-Moore, Suites spectrales d' ram Mathématiques Topologie algèbre Hopf inriac cohomologie inriac espace fibré inriac homotopie inriac suite spectrale inriac système Postnikov inriac Eilenberg-Moore-Spektralsequenz (DE-588)4151218-2 gnd |
| subject_GND | (DE-588)4151218-2 |
| title | Lectures on the Eilenberg-Moore spectral sequence |
| title_auth | Lectures on the Eilenberg-Moore spectral sequence |
| title_exact_search | Lectures on the Eilenberg-Moore spectral sequence |
| title_full | Lectures on the Eilenberg-Moore spectral sequence Larry Smith |
| title_fullStr | Lectures on the Eilenberg-Moore spectral sequence Larry Smith |
| title_full_unstemmed | Lectures on the Eilenberg-Moore spectral sequence Larry Smith |
| title_short | Lectures on the Eilenberg-Moore spectral sequence |
| title_sort | lectures on the eilenberg moore spectral sequence |
| topic | Eilenberg-Moore, Suites spectrales d' ram Mathématiques Topologie algèbre Hopf inriac cohomologie inriac espace fibré inriac homotopie inriac suite spectrale inriac système Postnikov inriac Eilenberg-Moore-Spektralsequenz (DE-588)4151218-2 gnd |
| topic_facet | Eilenberg-Moore, Suites spectrales d' Mathématiques Topologie algèbre Hopf cohomologie espace fibré homotopie suite spectrale système Postnikov Eilenberg-Moore-Spektralsequenz |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001867413&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT smithlarry lecturesontheeilenbergmoorespectralsequence |