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Triangulated Categories by Amnon Neeman (2001, Annals of Mathematics Studies 148
Triangulated Categories by Amnon Neeman (2001, Annals of Mathematics Studies 148
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Triangulated Categories, by Amnon Neeman.
Princeton University Press, 2001. First printing.
Annals of mathematics studies, Vol. 148.
"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
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
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