Cellular spaces, null spaces and homotopy localization:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1996
|
| Schriftenreihe: | Lecture notes in mathematics
1622 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XIV, 199 S. |
| ISBN: | 3540606041 |
Internformat
MARC
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| 100 | 1 | |a Farjoun, Emmanuel Dror |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Cellular spaces, null spaces and homotopy localization |c Emmanuel Dror Farjoun |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1996 | |
| 300 | |a XIV, 199 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Lecture notes in mathematics |v 1622 | |
| 650 | 7 | |a Espace cellulaire |2 Jussieu | |
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| 650 | 7 | |a Homotopie |2 ram | |
| 650 | 4 | |a Localisation, Théorie de la | |
| 650 | 7 | |a Localisation, Théorie de la |2 ram | |
| 650 | 7 | |a Produit symétrique Dold-Thom |2 Jussieu | |
| 650 | 4 | |a Localization theory | |
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Datensatz im Suchindex
| _version_ | 1805082786664546304 |
|---|---|
| adam_text |
Contents
Introduction vii
1. Coaugmented homotopy idempotent localization functors
Introduction 1
A. Local spaces, null spaces, localization functors, elementary facts 1
B. Construction of L/ 6
C. Universality and continuity of L/ 17
D. Lf and homotopy colimits, / local equivalence 23
E. Examples: Localization according to Quillen Sullivan,
Bousfield Kan, homological localizations,
and ^i periodic localization 26
F. Fibrewise localization 28
G. Proof of elementary facts 35
H. The fibre of the localization map 37
2. Augmented homotopy idempotent functors
A. Introduction, ^ equivalence 39
B. Construction of CW^, the universal A equivalence 40
C. A common generalization of L/ and CW^ and model category
structures 42
D. Closed classes and A cellular spaces 45
E. A Homotopy theory and universal properties 53
3. Commutation rules for Q,, hf and CW,4,
preservation of fibrations and cofibrations
Introduction 59
A. Commutation with the loop functor 59
B. Relations between CWA and P.4 63
C. Examples of cellular spaces 65
D. Localization L/ and cofibrations, fibrations 73
E. CWx and fibrations 75
4. Dold Thom symmetric products and other colimits
Introduction 79
A. Dold Thom symmetric products as homotopy colimits 80
B. Localization and cellularization of GEMs 87
C. Relation between colimits and pointed homotopy colimits 92
D. Application: Cellular version of Bousfield's key lemma 95
vi
5. General theory of fibrations, GEM error terms
Introduction 100
A. GEM and polyGEM error terms — main results 101
B. The main theorem on GEM error terms 104
C. The nullification applied to fibrations and function complexes 112
D. Localization with respect to a double suspension map 116
E. The functor CWA and fibrations 120
F. Applications: A generalized Serre theorem, Neisendorfer theorem 122
6. Homological localization nearly preserves fibrations
A. Introduction, main result 127
B. Localization of polyGEMs 128
C. Localization with respect to Morava if theories 132
7. Classification of nullity and cellular types of finite p torsion
suspension spaces
Introduction 135
A. Stable nullity classes and Hopkins Smith types 135
B. Unstable nullity types 137
C. Unstable cellular types 140
8. Vj Periodic spaces and if theory
Introduction 144
A. The Vi periodization of spaces 146
B. .^ isomorphisms, if acyclic spaces 152
9. Cellular inequalities
A. Introduction and main results 155
B. The homotopy fibre as homotopy colimit 160
C. The weak Cauchy Schwartz inequality 166
D. Examples 167
E. Average or weak colimit of a diagram 172
F. A list of questions 174
Appendices
HL: Homotopy colimits and fibrations 176
HC: Pointed homotopy coends 189
References 192
Index 196 |
| any_adam_object | 1 |
| author | Farjoun, Emmanuel Dror |
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| dewey-raw | 510 514/.24 |
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| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| language | English |
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| physical | XIV, 199 S. |
| publishDate | 1996 |
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| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Farjoun, Emmanuel Dror Verfasser aut Cellular spaces, null spaces and homotopy localization Emmanuel Dror Farjoun Berlin [u.a.] Springer 1996 XIV, 199 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1622 Espace cellulaire Jussieu Espace nul Jussieu Fibration Jussieu Homotopia larpcal Homotopie Jussieu Homotopie gtt Homotopie ram Localisation, Théorie de la Localisation, Théorie de la ram Produit symétrique Dold-Thom Jussieu Localization theory Algebraische Topologie (DE-588)4120861-4 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 gnd rswk-swf Algebraische Topologie (DE-588)4120861-4 s DE-604 Homotopietheorie (DE-588)4128142-1 s Lecture notes in mathematics 1622 (DE-604)BV000676446 1622 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006967292&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Farjoun, Emmanuel Dror Cellular spaces, null spaces and homotopy localization Lecture notes in mathematics Espace cellulaire Jussieu Espace nul Jussieu Fibration Jussieu Homotopia larpcal Homotopie Jussieu Homotopie gtt Homotopie ram Localisation, Théorie de la Localisation, Théorie de la ram Produit symétrique Dold-Thom Jussieu Localization theory Algebraische Topologie (DE-588)4120861-4 gnd Homotopietheorie (DE-588)4128142-1 gnd |
| subject_GND | (DE-588)4120861-4 (DE-588)4128142-1 |
| title | Cellular spaces, null spaces and homotopy localization |
| title_auth | Cellular spaces, null spaces and homotopy localization |
| title_exact_search | Cellular spaces, null spaces and homotopy localization |
| title_full | Cellular spaces, null spaces and homotopy localization Emmanuel Dror Farjoun |
| title_fullStr | Cellular spaces, null spaces and homotopy localization Emmanuel Dror Farjoun |
| title_full_unstemmed | Cellular spaces, null spaces and homotopy localization Emmanuel Dror Farjoun |
| title_short | Cellular spaces, null spaces and homotopy localization |
| title_sort | cellular spaces null spaces and homotopy localization |
| topic | Espace cellulaire Jussieu Espace nul Jussieu Fibration Jussieu Homotopia larpcal Homotopie Jussieu Homotopie gtt Homotopie ram Localisation, Théorie de la Localisation, Théorie de la ram Produit symétrique Dold-Thom Jussieu Localization theory Algebraische Topologie (DE-588)4120861-4 gnd Homotopietheorie (DE-588)4128142-1 gnd |
| topic_facet | Espace cellulaire Espace nul Fibration Homotopia Homotopie Localisation, Théorie de la Produit symétrique Dold-Thom Localization theory Algebraische Topologie Homotopietheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006967292&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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