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Triangulated Categories. (AM-148), Volume 148 : Annals of Mathematics Studies - Amnon Neeman

Triangulated Categories. (AM-148), Volume 148

Annals of Mathematics Studies

Paperback

Published: 23rd January 2001
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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.

"A very valuable source of information... It is approachable and beautifully written... I greatly enjoyed reading it."--Tim Porter, Bulletin of the London Mathematical Society

, pg. iContents, pg. v0. Acknowledgements, pg. 31. Introduction, pg. 3Chapter 1. Definition and elementary properties of triangulated categories, pg. 29APPENDIX E: Examples of non-perfectly-generated categories, pg. 427Bibliography, pg. 443Index, pg. 445

ISBN: 9780691086866
ISBN-10: 0691086869
Series: Annals of Mathematics Studies
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 449
Published: 23rd January 2001
Country of Publication: US
Dimensions (cm): 22.86 x 15.24  x 3.18
Weight (kg): 0.66