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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