Amnon Neeman

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.

Triangulated Categories. (AM-148), Volume 148

Michael Johnson

Alexei Davydov

Michael Batanin

Category theory has become the universal language of modern mathematics. This book is a collection of articles applying methods of category theory to the areas of algebra, geometry, and mathematical physics. Among others, this book contains articles on higher categories and their applications and on homotopy theoretic methods. The reader can learn about the exciting new interactions of category theory with very traditional mathematical disciplines.

Conference and Workshop in Honor of Ross Street's 60th Birthday, July 11-16/July 18-21, 2005, Macquarie University, Sydney, Australia, Australian National University, Canberra, Australia

Categories in Algebra, Geometry and Mathematical Physics

Theorems and Problems

Ueda Theory: Theorems and Problems

The Chromatic Tower for D(R)

Amnon Neeman

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