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Acyclic models:

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Bibliographic Details
Main Author:	Barr, Michael (Author)
Format:	Book
Language:	English
Published:	Providence, RI American Mathematical Soc. 2002
Series:	CRM Monograph series 17
Subjects:	Modèles acycliques Acyclic models Kommutative Algebra Kohomologietheorie Homologietheorie
Online Access:	Inhaltsverzeichnis
Item Description:	Includes bibliographical references (p. 175-176) and index
Physical Description:	XI, 179 S.
ISBN:	0821828770

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MARC


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adam_text	Contents Preface vii Chapter 1. Categories 1 1. Introduction 1 2. Definition of category 1 3. Functors 9 4. Natural transformations 12 5. Elements and subobjects 15 6. The Yoneda Lemma 19 7. Pullbacks 22 8. Limits and colimits 26 9. Adjoint functors 35 10. Categories of fractions 38 11. The category of modules 42 Chapter 2. Abelian Categories and Homological Algebra 45 1. Additive categories 45 2. Abelian categories 49 3. Exactness 51 4. Homology 56 5. Module categories 61 6. The Z construction 67 Chapter 3. Chain Complexes and Simplicial Objects 69 1. Mapping cones 69 2. Contractible complexes 72 3. Simplicial objects 76 4. Associated chain complex 80 5. The Dold Puppe theorem 81 6. Double complexes 82 7. Double simplicial objects 86 8. Homology and cohomology of a morphism 87 Chapter 4. Triples a la Mode de Kan 89 1. Triples and cotriples 89 2. Model induced triples 92 3. Triples on the simplicial category 93 4. Historical Notes 94 Chapter 5. The Main Acyclic Models Theorem 95 1. Acyclic classes 95 V vi CONTENTS 2. Properties of acyclic classes 99 3. The main theorem 101 4. Homotopy calculuses of fractions 104 5. Exactness conditions 109 Chapter 6. Cartan Eilenberg Cohomology 113 1. Beck modules 114 2. The main theorem 119 3. Groups 122 4. Associative algebras 125 5. Lie Algebras 126 Chapter 7. Other Applications in Algebra 131 1. Commutative algebras 131 2. More on cohomology of commutative cohomology 145 3. Shukla cohomology 148 4. The Eilenberg Zilber theorem 148 Chapter 8. Applications in Topology 151 1. Singular homology 151 2. Covered spaces 156 3. Simplicial homology 160 4. Singular homology of triangulated spaces 161 5. Homology with ordered simplexes 163 6. Application to homology on manifolds 168 Bibliography 175
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id	DE-604.BV014455597
illustrated	Not Illustrated
indexdate	2024-07-09T19:02:54Z
institution	BVB
isbn	0821828770
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-009875083
oclc_num	49421662
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owner	DE-355 DE-BY-UBR
owner_facet	DE-355 DE-BY-UBR
physical	XI, 179 S.
publishDate	2002
publishDateSearch	2002
publishDateSort	2002
publisher	American Mathematical Soc.
record_format	marc
series	CRM Monograph series
series2	CRM Monograph series
spelling	Barr, Michael Verfasser aut Acyclic models Michael Barr Providence, RI American Mathematical Soc. 2002 XI, 179 S. txt rdacontent n rdamedia nc rdacarrier CRM Monograph series 17 Includes bibliographical references (p. 175-176) and index Modèles acycliques Acyclic models Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Kohomologietheorie (DE-588)4164610-1 gnd rswk-swf Homologietheorie (DE-588)4141714-8 gnd rswk-swf Homologietheorie (DE-588)4141714-8 s Kohomologietheorie (DE-588)4164610-1 s Kommutative Algebra (DE-588)4164821-3 s DE-604 CRM Monograph series 17 (DE-604)BV007928388 17 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009875083&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Barr, Michael Acyclic models CRM Monograph series Modèles acycliques Acyclic models Kommutative Algebra (DE-588)4164821-3 gnd Kohomologietheorie (DE-588)4164610-1 gnd Homologietheorie (DE-588)4141714-8 gnd
subject_GND	(DE-588)4164821-3 (DE-588)4164610-1 (DE-588)4141714-8
title	Acyclic models
title_auth	Acyclic models
title_exact_search	Acyclic models
title_full	Acyclic models Michael Barr
title_fullStr	Acyclic models Michael Barr
title_full_unstemmed	Acyclic models Michael Barr
title_short	Acyclic models
title_sort	acyclic models
topic	Modèles acycliques Acyclic models Kommutative Algebra (DE-588)4164821-3 gnd Kohomologietheorie (DE-588)4164610-1 gnd Homologietheorie (DE-588)4141714-8 gnd
topic_facet	Modèles acycliques Acyclic models Kommutative Algebra Kohomologietheorie Homologietheorie
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009875083&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV007928388
work_keys_str_mv	AT barrmichael acyclicmodels

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