Triangulated categories
著者
書誌事項
Triangulated categories
（Annals of mathematics studies, no. 148）
Princeton University Press, 2001
- : cloth
- : pbk
大学図書館所蔵 件 / 全70件
-
: cloth410.8//A49//695515100169554,
: pbk410.8//A49//805815100176153,15100200847,15100208527,15100280583 -
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注記
Bibliography: p. 443-444
Includes index
内容説明・目次
- 巻冊次
-
: cloth ISBN 9780691086859
内容説明
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.
- 巻冊次
-
: pbk ISBN 9780691086866
内容説明
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.
目次
*, pg. i*Contents, pg. v*0. Acknowledgements, pg. 3*1. Introduction, pg. 3*Chapter 1. Definition and elementary properties of triangulated categories, pg. 29*APPENDIX E: Examples of non-perfectly-generated categories, pg. 427*Bibliography, pg. 443*Index, pg. 445
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