Triangulated Categories
Neeman, Amnon
creator
author.
text
bibliography
Electronic books.
Electronic books.
nju
Princeton
Ewing
Princeton University Press
Jan. 2001
California Princeton Fulfillment Services [distributor]
2001
monographic
eng
1 online resource (449 pages) illustrations
"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.
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.
College Audience Princeton University Press.
adult
Includes bibliographical references (pages 443-444) and index.
In English.
Triangulated categories
Algebra and Number Theory
Categorieën (wiskunde)
Categories (Mathematics)
Catégories (Mathématiques)
Kategorie (Mathematik)
Mathematics
Triangulated categories
Triangulation
Mathematik
Catégories (Mathématiques)
MATHEMATICS
Essays
MATHEMATICS
Pre-Calculus
MATHEMATICS
Reference
MATHEMATICS
Algebra
Abstract
Triangulated categories
Kategorie
Triangulation
Categorieën (wiskunde)
QA1.A626 no.148
510 s 512/.55
31.27
SI 830
SK 320
MAT 183f
MAT 552f
31.27.
MAT 183f.
MAT 552f.
SI 830.
SK 320.
Triangulated categories
Neeman, Amnon.
(DLC) 00051631
(OCoLC)45202119
Annals of mathematics studies ; no. 148
9781400837212
1400837219
00021620
22573/ctt767zrp JSTOR
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001116
20210304102507.0
ocn757993359
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