ENGLISH

Triangulated Categories. (AM-148), Volume 148

By Amnon Neeman

Book information

Publisher
Princeton University Press
Year
2014
ISBN
9781400837212
DOI
10.1515/9781400837212
Language
english
Format
PDF
Filesize
17 MB (17669271 bytes)
Series
Annals of Mathematics Studies; 148
Pages
449\460
Library
degruyter.com
Time added
2023-08-26 16:59:26

Description

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.

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