Verfügbarkeit: Triangulated Categories.

Triangulated Categories.:

"The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder...

Ausführliche Beschreibung

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Bibliographische Detailangaben
1. Verfasser:	Neeman, Amnon (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Princeton : Ewing : Princeton University Press California Princeton Fulfillment Services [distributor] Jan. 2001
Schriftenreihe:	Annals of mathematics studies ; no. 148.
Schlagworte:	Triangulated categories. Categories (Mathematics) Algebra and Number Theory. Categorieën (wiskunde) Catégories (Mathématiques) Kategorie (Mathematik) Mathematics. Triangulation. Mathematik. Catégories triangulées. MATHEMATICS > Essays. MATHEMATICS > Pre-Calculus. MATHEMATICS > Reference. MATHEMATICS > Algebra > Abstract. Triangulated categories Kategorie > Mathematik Triangulation
Online-Zugang:	Volltext
Zusammenfassung:	"The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--The "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics"--Publisher description.
Beschreibung:	1 online resource (449 pages) illustrations
Zielpublikum:	College Audience
Bibliographie:	Includes bibliographical references (pages 443-444) and index.
ISBN:	9781400837212 1400837219

Internformat

MARC


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505	0	0	\|t Definition and elementary properties of triangulated categories -- \|t Triangulated functors and localizations of tringulated categories -- \|t Perfection of classes -- \|t Small objects, and Thomason's localisation theorem -- \|t Category A(S) -- \|t Category Ex(Sop, Ab) -- \|t Homological properties of Ex(Sop, Ab) -- \|t Brown representability -- \|t Bousfield localisation.
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650		4	\|a Mathematics.
650		4	\|a Triangulated categories.
650		4	\|a Triangulation.
650		4	\|a Mathematik.
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contents	Definition and elementary properties of triangulated categories -- Triangulated functors and localizations of tringulated categories -- Perfection of classes -- Small objects, and Thomason's localisation theorem -- Category A(S) -- Category Ex(Sop, Ab) -- Homological properties of Ex(Sop, Ab) -- Brown representability -- Bousfield localisation.
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id	ZDB-4-EBA-ocn757993359
illustrated	Illustrated
indexdate	2024-11-27T13:18:03Z
institution	BVB
isbn	9781400837212 1400837219
language	English
oclc_num	757993359
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owner	MAIN DE-863 DE-BY-FWS
owner_facet	MAIN DE-863 DE-BY-FWS
physical	1 online resource (449 pages) illustrations
psigel	ZDB-4-EBA
publishDate	2001
publishDateSearch	2001
publishDateSort	2001
publisher	Princeton University Press California Princeton Fulfillment Services [distributor]
record_format	marc
series	Annals of mathematics studies ;
series2	Annals of Mathematics Studies
spelling	Neeman, Amnon, author. http://id.loc.gov/authorities/names/n87811126 Triangulated Categories. Princeton : Princeton University Press Jan. 2001 Ewing : California Princeton Fulfillment Services [distributor] 1 online resource (449 pages) illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies Vol. 148 College Audience Princeton University Press. Includes bibliographical references (pages 443-444) and index. "The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--The "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics"--Publisher description. In English. Definition and elementary properties of triangulated categories -- Triangulated functors and localizations of tringulated categories -- Perfection of classes -- Small objects, and Thomason's localisation theorem -- Category A(S) -- Category Ex(Sop, Ab) -- Homological properties of Ex(Sop, Ab) -- Brown representability -- Bousfield localisation. Triangulated categories. http://id.loc.gov/authorities/subjects/sh2010007133 Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Algebra and Number Theory. Categorieën (wiskunde) Categories (Mathematics) Catégories (Mathématiques) Kategorie (Mathematik) Mathematics. Triangulated categories. Triangulation. Mathematik. Catégories triangulées. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh MATHEMATICS Algebra Abstract. bisacsh Categories (Mathematics) fast Triangulated categories fast Kategorie Mathematik gnd http://d-nb.info/gnd/4129930-9 Triangulation gnd Categorieën (wiskunde) gtt Print version: Neeman, Amnon. Triangulated categories 0691086850 (DLC) 00051631 (OCoLC)45202119 Annals of mathematics studies ; no. 148. 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=818433 Volltext 505-00/(S Definition and elementary properties of triangulated categories -- Triangulated functors and localizations of tringulated categories -- Perfection of classes -- Small objects, and Thomason's localisation theorem -- Category A(S) -- Category Ex(S[superscript op], Ab) -- Homological properties of Ex(S[superscript op], Ab) -- Brown representability -- Bousfield localisation -- Appendix A. Abelian categories -- Appendix B. Homological functors into [AB5[superscript infinity]] categories -- Appendix C. Counterexamples concerning the abelian category A(Τ) -- Appendix D. Where Τ is the homotopy category of spectra -- Appendix E. Examples of non-perfectly-generated categories -- Bibliography -- Index.
spellingShingle	Neeman, Amnon Triangulated Categories. Annals of mathematics studies ; Definition and elementary properties of triangulated categories -- Triangulated functors and localizations of tringulated categories -- Perfection of classes -- Small objects, and Thomason's localisation theorem -- Category A(S) -- Category Ex(Sop, Ab) -- Homological properties of Ex(Sop, Ab) -- Brown representability -- Bousfield localisation. Triangulated categories. http://id.loc.gov/authorities/subjects/sh2010007133 Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Algebra and Number Theory. Categorieën (wiskunde) Categories (Mathematics) Catégories (Mathématiques) Kategorie (Mathematik) Mathematics. Triangulated categories. Triangulation. Mathematik. Catégories triangulées. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh MATHEMATICS Algebra Abstract. bisacsh Categories (Mathematics) fast Triangulated categories fast Kategorie Mathematik gnd http://d-nb.info/gnd/4129930-9 Triangulation gnd Categorieën (wiskunde) gtt
subject_GND	http://id.loc.gov/authorities/subjects/sh2010007133 http://id.loc.gov/authorities/subjects/sh85020992 http://d-nb.info/gnd/4129930-9
title	Triangulated Categories.
title_alt	Definition and elementary properties of triangulated categories -- Triangulated functors and localizations of tringulated categories -- Perfection of classes -- Small objects, and Thomason's localisation theorem -- Category A(S) -- Category Ex(Sop, Ab) -- Homological properties of Ex(Sop, Ab) -- Brown representability -- Bousfield localisation.
title_auth	Triangulated Categories.
title_exact_search	Triangulated Categories.
title_full	Triangulated Categories.
title_fullStr	Triangulated Categories.
title_full_unstemmed	Triangulated Categories.
title_short	Triangulated Categories.
title_sort	triangulated categories
topic	Triangulated categories. http://id.loc.gov/authorities/subjects/sh2010007133 Categories (Mathematics) http://id.loc.gov/authorities/subjects/sh85020992 Algebra and Number Theory. Categorieën (wiskunde) Categories (Mathematics) Catégories (Mathématiques) Kategorie (Mathematik) Mathematics. Triangulated categories. Triangulation. Mathematik. Catégories triangulées. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh MATHEMATICS Algebra Abstract. bisacsh Categories (Mathematics) fast Triangulated categories fast Kategorie Mathematik gnd http://d-nb.info/gnd/4129930-9 Triangulation gnd Categorieën (wiskunde) gtt
topic_facet	Triangulated categories. Categories (Mathematics) Algebra and Number Theory. Categorieën (wiskunde) Catégories (Mathématiques) Kategorie (Mathematik) Mathematics. Triangulation. Mathematik. Catégories triangulées. MATHEMATICS Essays. MATHEMATICS Pre-Calculus. MATHEMATICS Reference. MATHEMATICS Algebra Abstract. Triangulated categories Kategorie Mathematik Triangulation
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=818433
work_keys_str_mv	AT neemanamnon triangulatedcategories

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