Homotopy theories:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
1988
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
383 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 71, Number 383 (end of volume) |
| Beschreibung: | V, 78 S. |
| ISBN: | 0821824465 |
Internformat
MARC
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 383 | |
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Datensatz im Suchindex
| _version_ | 1804120597328822272 |
|---|---|
| adam_text | TABLE OF CONTENTS
Page
INTRODUCTION 1
CHAPTER I. CATEGORICAL PRELIMINARIES 6
1. Basic notions and localization 6
2. Fibrations 8
3. Hyperfunctors 11
4. Weak commutativity 13
CHAPTER II. HOMOTOPY THEORIES 17
1. Left and right homotopy theories 17
2. The standard example 18
3. Closed Quillen model categories 20
4. Model structure in K? 22
5. J as a homotopy theory 25
6. The standard theory via small categories 28
CHAPTER III. PROPERTIES OF HOMOTOPY THEORIES 32
1. Limits and weak limits 32
2. Computing with homotopy Kan extensions 34
3. Sequential homotopy colimits 37
4. Steenrod factorizations and the density theorem 40
5. Pointed homotopy theories 41
CHAPTER IV. TENSOR STRUCTURES 45
1. The functors 8_ 45
b
2. The functors 8_, Horn. 48
G G
3. Tensor and cotensor structure in homotopy theories 52
4. Tensor structure and homotopy limits 53
5. Regular homotopy theories 55
CHAPTER V. LOCALIZATION 57
1. Localization in a homotopy theory 57
2. Examples of localizations and colocalizations 62
3. Compact objects, the little Bousfield lemma and Brown s theorem 64
4. Uniform localization 66
iii
iv TABLE OF CONTENTS
Page
CHAPTER VI. HOMOTOPICAL ALGEBRA 70
1. Universal algebra and homotopical algebra 70
2. Some simple cases 72
3. Homotopical groups 73
4. Homotopical multialgebras 74
BIBLIOGRAPHY 77
|
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| indexdate | 2024-07-09T16:44:37Z |
| institution | BVB |
| isbn | 0821824465 |
| language | English |
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| physical | V, 78 S. |
| publishDate | 1988 |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Heller, Alex Verfasser aut Homotopy theories Alex Heller Providence, RI 1988 V, 78 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 383 Volume 71, Number 383 (end of volume) Homotopia larpcal Homotopy theory Homotopietheorie (DE-588)4128142-1 gnd rswk-swf Homotopietheorie (DE-588)4128142-1 s DE-604 American Mathematical Society: Memoirs of the American Mathematical Society 383 (DE-604)BV008000141 383 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004018312&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heller, Alex Homotopy theories American Mathematical Society: Memoirs of the American Mathematical Society Homotopia larpcal Homotopy theory Homotopietheorie (DE-588)4128142-1 gnd |
| subject_GND | (DE-588)4128142-1 |
| title | Homotopy theories |
| title_auth | Homotopy theories |
| title_exact_search | Homotopy theories |
| title_full | Homotopy theories Alex Heller |
| title_fullStr | Homotopy theories Alex Heller |
| title_full_unstemmed | Homotopy theories Alex Heller |
| title_short | Homotopy theories |
| title_sort | homotopy theories |
| topic | Homotopia larpcal Homotopy theory Homotopietheorie (DE-588)4128142-1 gnd |
| topic_facet | Homotopia Homotopy theory Homotopietheorie |
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