By Amnon Neeman
The first chapters of this publication supply a latest, self-contained exposition of the straightforward conception of triangulated different types and their quotients. the straightforward, dependent presentation of those recognized effects makes those chapters eminently appropriate as a textual content for graduate scholars. the rest of the booklet is dedicated to new learn, supplying, between different fabric, a few outstanding advancements on Brown's classical representability theorem. furthermore, the writer introduces a category of triangulated categories"--the "well generated triangulated categories"--and stories their homes. This workout is especially worthy in that many examples of triangulated different types are good generated, and the publication proves a number of strong theorems for this huge category. those chapters will curiosity researchers within the fields of algebra, algebraic geometry, homotopy thought, and mathematical physics.
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