A user's guide to spectral sequences:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Univ. Press
2007
|
| Ausgabe: | 2. ed., reprint. |
| Schriftenreihe: | Cambridge studies in advanced mathematics
58 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XV, 561 S. graph. Darst. |
| ISBN: | 9780521567596 9780521861564 |
Internformat
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Datensatz im Suchindex
| _version_ | 1818323350840147968 |
|---|---|
| adam_text |
IMAGE 1
PREFACE
P. VII
INTRODUCTION
P. IX
ALGEBRA
P. 1
AN INFORMAL INTRODUCTION
P. 3
"THERE IS A SPECTRAL SEQUENCE ."
P. 3
LACUNARY PHENOMENA
P. 7
EXPLOITING FURTHER STRUCTURE
P. 9
WORKING BACKWARDS
P. 19
INTERPRETING THE ANSWER
P. 23
WHAT IS A SPECTRAL SEQUENCE?
P. 28
DEFINITIONS AND BASIC PROPERTIES
P. 28
HOW DOES A SPECTRAL SEQUENCE ARISE?
P. 31
SPECTRAL SEQUENCES OF ALGEBRAS
P. 44
ALGEBRAIC APPLICATIONS
P. 46
CONVERGENCE OF SPECTRAL SEQUENCES
P. 61
ON CONVERGENCE
P. 61
LIMITS AND COLIMITS
P. 67
ZEEMAN'S COMPARISON THEOREM
P. 82
TOPOLOGY
P. 89
TOPOLOGICAL BACKGROUND
P. 91
CW-COMPLEXES
P. 92
SIMPLICIAL SETS
P. 103
FIBRATIONS
P. 109
HOPF ALGEBRAS AND THE STEENROD ALGEBRA
P. 122
THE LERAY-SERRE SPECTRAL SEQUENCE I
P. 133
CONSTRUCTION OF THE SPECTRAL SEQUENCE
P. 136
IMMEDIATE APPLICATIONS
P. 140
APPENDICES
P. 163
THE LERAY-SERRE SPECTRAL SEQUENCE II
P. 180
A PROOF OF THEOREM 6.1
P. 181
THE TRANSGRESSION
P. 185
CLASSIFYING SPACES AND CHARACTERISTIC CLASSES
P. 207
OTHER CONSTRUCTIONS OF THE SPECTRAL SEQUENCE
P. 221
THE EILENBERG-MOORE SPECTRAL SEQUENCE I
P. 232
DIFFERENTIAL HOMOLOGICAL ALGEBRA
P. 234
BRINGING IN THE TOPOLOGY
P. 248
THE KOSZUL COMPLEX
P. 257
THE HOMOLOGY OF QUOTIENT SPACES OF GROUP ACTIONS
P. 265
THE EILENBERG-MOORE SPECTRAL SEQUENCE II
P. 273
ON HOMOGENEOUS SPACES
P. 274
DIFFERENTIALS IN THE EILENBERG-MOORE SPECTRAL SEQUENCE
P. 297
IMAGE 2
FURTHER STRUCTURE
P. 313
NONTRIVIAL FUNDAMENTAL GROUPS
P. 329
ACTIONS OF THE FUNDAMENTAL GROUP
P. 330
HOMOLOGY OF GROUPS
P. 334
NILPOTENT SPACES AND GROUPS
P. 344
THE ADAMS SPECTRAL SEQUENCE
P. 366
MOTIVATION: WHAT COHOMOLOGY SEES
P. 368
MORE HOMOLOGICAL ALGEBRA; THE FUNCTOR EXT
P. 376
THE SPECTRAL SEQUENCE
P. 392
OTHER GEOMETRIC APPLICATIONS
P. 407
COMPUTATIONS
P. 415
FURTHER STRUCTURE
P. 430
THE BOCKSTEIN SPECTRAL SEQUENCE
P. 455
THE BOCKSTEIN SPECTRAL SEQUENCE
P. 458
OTHER BOCKSTEIN SPECTRAL SEQUENCES
P. 480
SINS OF OMISSION
P. 485
MORE SPECTRAL SEQUENCES IN TOPOLOGY
P. 487
SPECTRAL SEQUENCES FOR MAPPINGS AND SPACES OF MAPPINGS
P. 487
SPECTRAL SEQUENCES AND SPECTRA
P. 495
OTHER ADAMS SPECTRAL SEQUENCES
P. 499
EQUIVARIANT MATTERS
P. 501
MISCELLANEA
P. 504
SPECTRAL SEQUENCES IN ALGEBRA, GEOMETRY AND ANALYSIS
P. 507
SPECTRAL SEQUENCES FOR RINGS AND MODULES
P. 507
SPECTRAL SEQUENCES IN GEOMETRY
P. 515
SPECTRAL SEQUENCES IN ALGEBRAIC K-THEORY
P. 520
DERIVED CATEGORIES
P. 523
BIBLIOGRAPHY
P. 525
SYMBOL INDEX
P. 553
INDEX
P. 555
TABLE OF CONTENTS PROVIDED BY BLACKWELL'S BOOK SERVICES AND R.R. BOWKER.
USED WITH PERMISSION. |
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| author | McCleary, John 1952- |
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| author_facet | McCleary, John 1952- |
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| author_sort | McCleary, John 1952- |
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| building | Verbundindex |
| bvnumber | BV037267859 |
| classification_rvk | SK 320 |
| ctrlnum | (OCoLC)254130820 (DE-599)BVBBV037267859 |
| discipline | Mathematik |
| edition | 2. ed., reprint. |
| format | Book |
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| id | DE-604.BV037267859 |
| illustrated | Illustrated |
| indexdate | 2024-12-13T11:11:18Z |
| institution | BVB |
| isbn | 9780521567596 9780521861564 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021180874 |
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| owner_facet | DE-355 DE-BY-UBR |
| physical | XV, 561 S. graph. Darst. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
| publishDateSort | 2007 |
| publisher | Univ. Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | McCleary, John 1952- Verfasser (DE-588)113779089 aut A user's guide to spectral sequences John McCleary 2. ed., reprint. Cambridge Univ. Press 2007 XV, 561 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 58 Lévinas, Emmanuel 1906-1995 (DE-588)118572350 gnd rswk-swf Strauss, Leo 1899-1973 (DE-588)118833901 gnd rswk-swf Politische Philosophie (DE-588)4076226-9 gnd rswk-swf Spektralsequenz (DE-588)4182172-5 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Spektralsequenz (DE-588)4182172-5 s DE-604 Strauss, Leo 1899-1973 (DE-588)118833901 p Politische Philosophie (DE-588)4076226-9 s Lévinas, Emmanuel 1906-1995 (DE-588)118572350 p Cambridge studies in advanced mathematics 58 (DE-604)BV000003678 58 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021180874&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | McCleary, John 1952- A user's guide to spectral sequences Cambridge studies in advanced mathematics Lévinas, Emmanuel 1906-1995 (DE-588)118572350 gnd Strauss, Leo 1899-1973 (DE-588)118833901 gnd Politische Philosophie (DE-588)4076226-9 gnd Spektralsequenz (DE-588)4182172-5 gnd |
| subject_GND | (DE-588)118572350 (DE-588)118833901 (DE-588)4076226-9 (DE-588)4182172-5 (DE-588)4113937-9 |
| title | A user's guide to spectral sequences |
| title_auth | A user's guide to spectral sequences |
| title_exact_search | A user's guide to spectral sequences |
| title_full | A user's guide to spectral sequences John McCleary |
| title_fullStr | A user's guide to spectral sequences John McCleary |
| title_full_unstemmed | A user's guide to spectral sequences John McCleary |
| title_short | A user's guide to spectral sequences |
| title_sort | a user s guide to spectral sequences |
| topic | Lévinas, Emmanuel 1906-1995 (DE-588)118572350 gnd Strauss, Leo 1899-1973 (DE-588)118833901 gnd Politische Philosophie (DE-588)4076226-9 gnd Spektralsequenz (DE-588)4182172-5 gnd |
| topic_facet | Lévinas, Emmanuel 1906-1995 Strauss, Leo 1899-1973 Politische Philosophie Spektralsequenz Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021180874&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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