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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.".
- Triangulated_category wikiPageExternalLink sga4h.pdf.
- Triangulated_category wikiPageExternalLink higheralgebra.pdf.
- Triangulated_category wikiPageID "1679700".
- Triangulated_category wikiPageLength "20819".
- Triangulated_category wikiPageOutDegree "54".
- Triangulated_category wikiPageRevisionID "696283777".
- Triangulated_category wikiPageWikiLink Abelian_category.
- Triangulated_category wikiPageWikiLink Abelian_group.
- Triangulated_category wikiPageWikiLink Additive_category.
- Triangulated_category wikiPageWikiLink Alexander_Grothendieck.
- Triangulated_category wikiPageWikiLink American_Mathematical_Society.
- Triangulated_category wikiPageWikiLink Category:Homological_algebra.
- Triangulated_category wikiPageWikiLink Category_(mathematics).
- Triangulated_category wikiPageWikiLink Commutative_diagram.
- Triangulated_category wikiPageWikiLink Derivator.
- Triangulated_category wikiPageWikiLink Derived_category.
- Triangulated_category wikiPageWikiLink Derived_functor.
- Triangulated_category wikiPageWikiLink Epimorphism.
- Triangulated_category wikiPageWikiLink Equivalence_of_categories.
- Triangulated_category wikiPageWikiLink Exact_sequence.
- Triangulated_category wikiPageWikiLink Ext_functor.
- Triangulated_category wikiPageWikiLink Frobenius_algebra.
- Triangulated_category wikiPageWikiLink Functor.
- Triangulated_category wikiPageWikiLink Homotopy_category_of_chain_complexes.
- Triangulated_category wikiPageWikiLink Localization_of_a_category.
- Triangulated_category wikiPageWikiLink Mapping_cone_(homological_algebra).
- Triangulated_category wikiPageWikiLink Mathematics.
- Triangulated_category wikiPageWikiLink Modular_representation_theory.
- Triangulated_category wikiPageWikiLink Monomorphism.
- Triangulated_category wikiPageWikiLink Natural_transformation.
- Triangulated_category wikiPageWikiLink Octahedron.
- Triangulated_category wikiPageWikiLink Opposite_category.
- Triangulated_category wikiPageWikiLink Quasi-category.
- Triangulated_category wikiPageWikiLink Quasi-isomorphism.
- Triangulated_category wikiPageWikiLink Section_(category_theory).
- Triangulated_category wikiPageWikiLink Spectrum_(topology).
- Triangulated_category wikiPageWikiLink Springer_Science+Business_Media.
- Triangulated_category wikiPageWikiLink Stable_module_category.
- Triangulated_category wikiPageWikiLink Stable_∞-category.
- Triangulated_category wikiPageWikiLink Séminaire_de_Géométrie_Algébrique_du_Bois_Marie.
- Triangulated_category wikiPageWikiLink T-structure.
- Triangulated_category wikiPageWikiLink File:Axiom_TR3.svg.
- Triangulated_category wikiPageWikiLink File:Axiom_TR4_(BBD).svg.
- Triangulated_category wikiPageWikiLink File:Axiom_TR4_(caps).svg.
- Triangulated_category wikiPageWikiLink File:Axiom_TR4_(polyhedron).svg.
- Triangulated_category wikiPageWikiLinkText "Triangulated category".
- Triangulated_category wikiPageWikiLinkText "Triangulated category#t-structures".
- Triangulated_category wikiPageWikiLinkText "factors (non-uniquely)".
- Triangulated_category wikiPageWikiLinkText "shift".
- Triangulated_category wikiPageWikiLinkText "t-structure".
- Triangulated_category wikiPageWikiLinkText "triangle".
- Triangulated_category wikiPageWikiLinkText "triangulated categories".
- Triangulated_category wikiPageWikiLinkText "triangulated category".
- Triangulated_category wikiPageWikiLinkText "triangulated".
- Triangulated_category authorLink "Jean-Louis Verdier".
- Triangulated_category first "Jean-Louis".
- Triangulated_category last "Beilinson".
- Triangulated_category last "Bernstein".
- Triangulated_category last "Deligne".
- Triangulated_category last "Dold".
- Triangulated_category last "Gelfand".
- Triangulated_category last "Hartshorne".
- Triangulated_category last "Manin".
- Triangulated_category last "Neeman".
- Triangulated_category last "Puppe".
- Triangulated_category last "Verdier".
- Triangulated_category loc "Chapter IV".
- Triangulated_category loc "Introduction".
- Triangulated_category txt "yes".
- Triangulated_category wikiPageUsesTemplate Template:Citation.
- Triangulated_category wikiPageUsesTemplate Template:Harvard_citations.
- Triangulated_category wikiPageUsesTemplate Template:Reflist.
- Triangulated_category wikiPageUsesTemplate Template:See.
- Triangulated_category wikiPageUsesTemplate Template:Weibel_IHA.
- Triangulated_category year "1961".
- Triangulated_category year "1963".
- Triangulated_category year "1966".
- Triangulated_category year "1982".
- Triangulated_category year "2001".
- Triangulated_category year "2006".
- Triangulated_category subject Category:Homological_algebra.
- Triangulated_category hypernym Category.
- Triangulated_category type TelevisionStation.
- Triangulated_category comment "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.".
- Triangulated_category label "Triangulated category".
- Triangulated_category sameAs Q7840150.
- Triangulated_category sameAs Catégorie_triangulée.
- Triangulated_category sameAs 삼각_분할_범주.
- Triangulated_category sameAs m.05mtym.
- Triangulated_category sameAs Q7840150.
- Triangulated_category wasDerivedFrom Triangulated_category?oldid=696283777.
- Triangulated_category isPrimaryTopicOf Triangulated_category.