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#triangulated_category

Triangulated category

In mathematics, a triangulated category is a category with the additional structure of a "translation functor" and a class of "exact triangles". Prominent examples are the derived category of an abelian category, as well as the stable homotopy category. The exact triangles generalize the short exact sequences in an abelian category, as well as fiber sequences and cofiber sequences in topology.

Sun 18th

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Triangulated category T-structure Homotopy category of chain complexes Derived category Bridgeland stability condition Differential graded category Glossary of category theory Abelian category Semiorthogonal decomposition Compact object (mathematics)
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