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arXiv · 1407.3765

Notes on Triangulated Categories

Tobias Fritz
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Abstract

We give an elementary introduction to the theory of triangulated categories covering their axioms, homological algebra in triangulated categories, triangulated subcategories, and Verdier localization. We try to use a minimal set of axioms for triangulated categories and derive all other statements from these, including the existence of biproducts. We conclude with a list of examples.

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Tobias Fritz. 2014-07-14. Notes on Triangulated Categories. https://arxiv.org/abs/1407.3765

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