# Triangulated Categories.

Neeman, Amnon,

Triangulated Categories. - Princeton : Ewing : Princeton University Press California Princeton Fulfillment Services [distributor] Jan. 2001 - 1 online resource (449 pages) illustrations - Annals of Mathematics Studies Vol. 148 . - Annals of mathematics studies ; no. 148. .

Includes bibliographical references (pages 443-444) and index.

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.

"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.

College Audience Princeton University Press.

In English.

9781400837212 1400837219

10.1515/9781400837212 doi

00021620 22573/ctt767zrp JSTOR

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)

Electronic books.

Electronic books.

QA1.A626 no.148

510 s 512/.55

Triangulated Categories. - Princeton : Ewing : Princeton University Press California Princeton Fulfillment Services [distributor] Jan. 2001 - 1 online resource (449 pages) illustrations - Annals of Mathematics Studies Vol. 148 . - Annals of mathematics studies ; no. 148. .

Includes bibliographical references (pages 443-444) and index.

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.

"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.

College Audience Princeton University Press.

In English.

9781400837212 1400837219

10.1515/9781400837212 doi

00021620 22573/ctt767zrp JSTOR

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)

Electronic books.

Electronic books.

QA1.A626 no.148

510 s 512/.55