Verfügbarkeit: Higher topos theory /

Higher topos theory /:

Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. In Higher Topos Theory, Jacob Lurie presents the foundations of th...

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Bibliographische Detailangaben
1. Verfasser:	Lurie, Jacob, 1977-
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Princeton, N.J. : Princeton University Press, 2009.
Schriftenreihe:	Annals of mathematics studies ; no. 170.
Schlagworte:	Toposes. Categories (Mathematics) Topos (Mathématiques) Catégories (Mathématiques) MATHEMATICS > Algebra > Intermediate. MATHEMATICS > Algebra > Abstract. Toposes Kategorientheorie Topos > Mathematik
Online-Zugang:	Volltext
Zusammenfassung:	Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. In Higher Topos Theory, Jacob Lurie presents the foundations of this theory, using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language. The result is a powerful theory with applications in many areas of mathematics. The book's firs.
Beschreibung:	1 online resource (xv, 925 pages) : illustrations
Bibliographie:	Includes bibliographical references (pages 909-914) and indexes.
ISBN:	9781400830558 1400830559 1282644955 9781282644953 9786612644955 6612644958

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MARC


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indexdate	2024-11-27T13:17:23Z
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isbn	9781400830558 1400830559 1282644955 9781282644953 9786612644955 6612644958
language	English
oclc_num	650311558
open_access_boolean
owner	MAIN DE-863 DE-BY-FWS
owner_facet	MAIN DE-863 DE-BY-FWS
physical	1 online resource (xv, 925 pages) : illustrations
psigel	ZDB-4-EBA
publishDate	2009
publishDateSearch	2009
publishDateSort	2009
publisher	Princeton University Press,
record_format	marc
series	Annals of mathematics studies ;
series2	Annals of mathematics studies ;
spelling	Lurie, Jacob, 1977- https://id.oclc.org/worldcat/entity/E39PBJyhckdjqcRmmFWt3tVt8C http://id.loc.gov/authorities/names/no2009129939 Higher topos theory / Jacob Lurie. Princeton, N.J. : Princeton University Press, 2009. 1 online resource (xv, 925 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier data file rda Annals of mathematics studies ; no. 170 Includes bibliographical references (pages 909-914) and indexes. Print version record. Cover; Contents; Preface; Chapter 1. An Overview of Higher Category Theory; Chapter 2. Fibrations of Simplicial Sets; Chapter 3. The 8-Category of 8-Categories; Chapter 4. Limits and Colimits; Chapter 5. Presentable and Accessible 8-Categories; Chapter 6. 8-Topoi; Chapter 7. Higher Topos Theory in Topology; Appendix; Bibliography; General Index; Index of Notation. Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. In Higher Topos Theory, Jacob Lurie presents the foundations of this theory, using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language. The result is a powerful theory with applications in many areas of mathematics. The book's firs. English. Toposes. http://id.loc.gov/authorities/subjects/sh85136094 Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Topos (Mathématiques) Catégories (Mathématiques) MATHEMATICS Algebra Intermediate. bisacsh MATHEMATICS Algebra Abstract. bisacsh Categories (Mathematics) fast Toposes fast Kategorientheorie gnd http://d-nb.info/gnd/4120552-2 Topos Mathematik gnd http://d-nb.info/gnd/4185717-3 has work: Higher topos theory (Text) https://id.oclc.org/worldcat/entity/E39PCGBHXKxD7wyTrpxCCJm3DC https://id.oclc.org/worldcat/ontology/hasWork Print version: Lurie, Jacob, 1977- Higher topos theory. Princeton, N.J. : Princeton University Press, 2009 9780691140483 (DLC) 2008038170 (OCoLC)244702012 Annals of mathematics studies ; no. 170. http://id.loc.gov/authorities/names/n42002129 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=329851 Volltext
spellingShingle	Lurie, Jacob, 1977- Higher topos theory / Annals of mathematics studies ; Cover; Contents; Preface; Chapter 1. An Overview of Higher Category Theory; Chapter 2. Fibrations of Simplicial Sets; Chapter 3. The 8-Category of 8-Categories; Chapter 4. Limits and Colimits; Chapter 5. Presentable and Accessible 8-Categories; Chapter 6. 8-Topoi; Chapter 7. Higher Topos Theory in Topology; Appendix; Bibliography; General Index; Index of Notation. Toposes. http://id.loc.gov/authorities/subjects/sh85136094 Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Topos (Mathématiques) Catégories (Mathématiques) MATHEMATICS Algebra Intermediate. bisacsh MATHEMATICS Algebra Abstract. bisacsh Categories (Mathematics) fast Toposes fast Kategorientheorie gnd http://d-nb.info/gnd/4120552-2 Topos Mathematik gnd http://d-nb.info/gnd/4185717-3
subject_GND	http://id.loc.gov/authorities/subjects/sh85136094 http://id.loc.gov/authorities/subjects/sh85020992 http://d-nb.info/gnd/4120552-2 http://d-nb.info/gnd/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	Toposes. http://id.loc.gov/authorities/subjects/sh85136094 Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Topos (Mathématiques) Catégories (Mathématiques) MATHEMATICS Algebra Intermediate. bisacsh MATHEMATICS Algebra Abstract. bisacsh Categories (Mathematics) fast Toposes fast Kategorientheorie gnd http://d-nb.info/gnd/4120552-2 Topos Mathematik gnd http://d-nb.info/gnd/4185717-3
topic_facet	Toposes. Categories (Mathematics) Topos (Mathématiques) Catégories (Mathématiques) MATHEMATICS Algebra Intermediate. MATHEMATICS Algebra Abstract. Toposes Kategorientheorie Topos Mathematik
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=329851
work_keys_str_mv	AT luriejacob highertopostheory

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