Verfügbarkeit: Higher topos theory | Technische Universität München

Higher topos theory:

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Bibliographische Detailangaben
Beteilige Person:	Lurie, Jacob 1977- (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Princeton and Oxford Princeton University Press 2009
Schriftenreihe:	Annals of mathematics studies numbber 170
Schlagwörter:	Categories (Mathematics) Toposes Kategorientheorie Topos > Mathematik
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017718275&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	xv, 925 Seiten Illustrationen, Diagramme
ISBN:	9780691140483 9780691140490

Internformat

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Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 180f 2014 A 2318
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adam_text	Contents Preface vii Chapter 1. An Overview of Higher Category Theory 1 1.1 Foundations for Higher Category Theory 1 1.2 The Language of Higher Category Theory 26 Chapter 2. Fibrations of Simplicial Sets 53 2.1 Left Fibrations 55 2.2 Simplicial Categories and oo-Categories 72 2.3 Inner Fibrations 95 2.4 Cartesian Fibrations 114 Chapter 3. The oo-Category of oo-Categories 145 3.1 Marked Simplicial Sets 147 3.2 Straightening and Unstraightening 169 3.3 Applications 204 Chapter 4. Limits and Colimits 223 4.1 Cofinality 223 4.2 Techniques for Computing Colimits 240 4.3 Kan Extensions 261 4.4 Examples of Colimits 292 Chapter 5. Presentable and Accessible oo-Categories 311 5.1 oo-Categories of Presheaves 312 5.2 Adjoint Functors 331 5.3 oo-Categories of Inductive Limits 377 5.4 Accessible oo-Categories 414 5.5 Presentable oo-Categories 455 Chapter 6. oo-Topoi 526 6.1 oo-Topoi: Definitions and Characterizations 527 6.2 Constructions of oo-Topoi 569 6.3 The oo-Category of oo-Topoi 593 6.4 n-Topoi 632 6.5 Homotopy Theory in an oo-Topos 651 Chapter 7. Higher Topos Theory in Topology 682 vi CONTENTS 7.1 Paracompact Spaces 683 7.2 Dimension Theory 711 7.3 The Proper Base Change Theorem 742 Appendix. 781 A.I Category Theory 781 A.2 Model Categories 803 A.3 Simplicial Categories 844 Bibliography 909 General Index 915 Index of Notation 923
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illustrated	Illustrated
indexdate	2024-12-20T13:40:06Z
institution	BVB
isbn	9780691140483 9780691140490
language	English
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oclc_num	244702012
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physical	xv, 925 Seiten Illustrationen, Diagramme
publishDate	2009
publishDateSearch	2009
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publisher	Princeton University Press
record_format	marc
series	Annals of mathematics studies
series2	Annals of mathematics studies
spellingShingle	Lurie, Jacob 1977- Higher topos theory Annals of mathematics studies Categories (Mathematics) Toposes Kategorientheorie (DE-588)4120552-2 gnd Topos Mathematik (DE-588)4185717-3 gnd
subject_GND	(DE-588)4120552-2 (DE-588)4185717-3
title	Higher topos theory
title_auth	Higher topos theory
title_exact_search	Higher topos theory
title_full	Higher topos theory Jacob Lurie
title_fullStr	Higher topos theory Jacob Lurie
title_full_unstemmed	Higher topos theory Jacob Lurie
title_short	Higher topos theory
title_sort	higher topos theory
topic	Categories (Mathematics) Toposes Kategorientheorie (DE-588)4120552-2 gnd Topos Mathematik (DE-588)4185717-3 gnd
topic_facet	Categories (Mathematics) Toposes Kategorientheorie Topos Mathematik
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work_keys_str_mv	AT luriejacob highertopostheory

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