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trangulate
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Trangulate might refer to |
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In mathematics, a triangulated category is a category together with the additional structure of a "translation functor" and a class of "distinguished triangles". Prominent examples are the derived category of an abelian category and the stable homotopy category of spectra (more generally, the homotopy category of a stable ∞-category), both of which carry the structure of a triangulated category in a natural fashion. The distinguished triangles generate the long exact sequences of homology; they play a role akin to that of short exact sequences in abelian categories. * A t-category is a triangulated category with a t-structure. |