Matches in DBpedia 2016-04 for { ?s ?p "In mathematics, a triangulated category is a category together with additional structure, a \"translation functor\" and a class of \"distinguished triangles\". Prominent examples are the derived category of an abelian category (more generally, the homotopy category of a stable ∞-category) and the stable homotopy category of spectra, both of which carry the structure of a triangulated category in a natural fashion. The distinguished triangles are reminiscent of 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."@en }
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- Triangulated_category abstract "In mathematics, a triangulated category is a category together with additional structure, a \"translation functor\" and a class of \"distinguished triangles\". Prominent examples are the derived category of an abelian category (more generally, the homotopy category of a stable ∞-category) and the stable homotopy category of spectra, both of which carry the structure of a triangulated category in a natural fashion. The distinguished triangles are reminiscent of 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.".