Stable homotopy:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
1970
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Schriftenreihe: | Lecture notes in mathematics
165 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | 194 S. |
Internformat
MARC
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100 | 1 | |a Cohen, Joel M. |e Verfasser |4 aut | |
245 | 1 | 0 | |a Stable homotopy |c Joel M. Cohen |
264 | 1 | |a Berlin [u.a.] |b Springer |c 1970 | |
300 | |a 194 S. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
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490 | 1 | |a Lecture notes in mathematics |v 165 | |
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650 | 7 | |a homotopie stable |2 inriac | |
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Datensatz im Suchindex
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adam_text | TABLE OF CONTENTS
Introduction x
Chapter 0 Preliminaries 1
Chapter 1 Homotopy and Homology Not-So-Long Exact
Sequences
1.1 Basic properties of mapping cones 5
1.2 Basic properties of fibres 8
1.3 Some consequences of the Serre Spectral
Sequence 13
1.4 Getting to the stable range 17
1.5 CW spaces 21
Chapter 2 Eilenberg-MacLane spaces and spectra
2.1 Construction of certain spaces 31
2.2 Properties of Eilenberg-MacLane and Moore
spaces 38
2.3 Generalized homology theories 46
Chapter 3 Spanier-Whitehead duality
3.1 Duality theorem 52
3.2 Duality in certain spectra and maps 64
Chapter 4 Stable homotopy in categorical algebra
4.1 The Freyd category 76
4.2 Problems in classification 93
4.3 Localization and cancellation 107
4.4 Primary spaces 117
4.5 The category S 126
4.6 K (S) is free P 129
o
Chapter 5 Spectral sequences and calculation of
stable homotopy
5.1 Construction of the spectral sequence 141
5.2 The cohomology of K and K 147
5.3 The spectrum L 159
5.4 The calculations 165
5.5 Other results 175
5.6 The Adams Spectral Sequence 181
5.7 Graded localization 184
Bibliography 193
|
any_adam_object | 1 |
author | Cohen, Joel M. |
author_facet | Cohen, Joel M. |
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ctrlnum | (OCoLC)612106687 (DE-599)BVBBV003094656 |
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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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illustrated | Not Illustrated |
indexdate | 2024-07-09T15:53:32Z |
institution | BVB |
language | English |
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oclc_num | 612106687 |
open_access_boolean | |
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physical | 194 S. |
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publishDate | 1970 |
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publisher | Springer |
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series | Lecture notes in mathematics |
series2 | Lecture notes in mathematics |
spelling | Cohen, Joel M. Verfasser aut Stable homotopy Joel M. Cohen Berlin [u.a.] Springer 1970 194 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 165 Homotopie ram Mathématiques Topologie homotopie stable inriac Homotopie (DE-588)4025803-8 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 s DE-604 Homotopie (DE-588)4025803-8 s Lecture notes in mathematics 165 (DE-604)BV000676446 165 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001940629&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Cohen, Joel M. Stable homotopy Lecture notes in mathematics Homotopie ram Mathématiques Topologie homotopie stable inriac Homotopie (DE-588)4025803-8 gnd Homotopietheorie (DE-588)4128142-1 gnd |
subject_GND | (DE-588)4025803-8 (DE-588)4128142-1 |
title | Stable homotopy |
title_auth | Stable homotopy |
title_exact_search | Stable homotopy |
title_full | Stable homotopy Joel M. Cohen |
title_fullStr | Stable homotopy Joel M. Cohen |
title_full_unstemmed | Stable homotopy Joel M. Cohen |
title_short | Stable homotopy |
title_sort | stable homotopy |
topic | Homotopie ram Mathématiques Topologie homotopie stable inriac Homotopie (DE-588)4025803-8 gnd Homotopietheorie (DE-588)4128142-1 gnd |
topic_facet | Homotopie Mathématiques Topologie homotopie stable Homotopietheorie |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001940629&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000676446 |
work_keys_str_mv | AT cohenjoelm stablehomotopy |