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- Delta-functor abstract "In homological algebra, a δ-functor between two abelian categories A and B is a collection of functors from A to B together with a collection of morphisms that satisfy properties generalising those of derived functors. A universal δ-functor is a δ-functor satisfying a specific universal property related to extending morphisms beyond \"degree 0\". These notions were introduced by Alexander Grothendieck in his \"Tohoku paper\" to provide an appropriate setting for derived functors. In particular, derived functors are universal δ-functors.The terms homological δ-functor and cohomological δ-functor are sometimes used to distinguish between the case where the morphisms \"go down\" (homological) and the case where they \"go up\" (cohomological). In particular, one of these modifiers should always be used, but is often dropped.".
- Delta-functor thumbnail DeltaFunctorLongExactSequence.png?width=300.
- Delta-functor wikiPageID "20850491".
- Delta-functor wikiPageLength "4454".
- Delta-functor wikiPageOutDegree "21".
- Delta-functor wikiPageRevisionID "662655812".
- Delta-functor wikiPageWikiLink Abelian_category.
- Delta-functor wikiPageWikiLink Alexander_Grothendieck.
- Delta-functor wikiPageWikiLink Category:Homological_algebra.
- Delta-functor wikiPageWikiLink Derived_functor.
- Delta-functor wikiPageWikiLink Effaceable_functor.
- Delta-functor wikiPageWikiLink Exact_sequence.
- Delta-functor wikiPageWikiLink Functor.
- Delta-functor wikiPageWikiLink Grothendiecks_Txc3xb4hoku_paper.
- Delta-functor wikiPageWikiLink Homological_algebra.
- Delta-functor wikiPageWikiLink Indexed_family.
- Delta-functor wikiPageWikiLink Morphism.
- Delta-functor wikiPageWikiLink Natural_number.
- Delta-functor wikiPageWikiLink Natural_transformation.
- Delta-functor wikiPageWikiLink Preadditive_category.
- Delta-functor wikiPageWikiLink Universal_property.
- Delta-functor wikiPageWikiLink File:DeltaFunctorFunctoriality.png.
- Delta-functor wikiPageWikiLink File:DeltaFunctorLongExactSequence.png.
- Delta-functor wikiPageWikiLink File:MorphismOfDeltaFunctors.png.
- Delta-functor wikiPageWikiLink File:Morphism_of_short_exact_sequences.png.
- Delta-functor wikiPageWikiLinkText "Delta-functor".
- Delta-functor wikiPageWikiLinkText "δ-functor".
- Delta-functor wikiPageUsesTemplate Template:Citation.
- Delta-functor wikiPageUsesTemplate Template:Lang_Algebra.
- Delta-functor wikiPageUsesTemplate Template:Weibel_IHA.
- Delta-functor subject Category:Homological_algebra.
- Delta-functor hypernym Collection.
- Delta-functor type Book.
- Delta-functor comment "In homological algebra, a δ-functor between two abelian categories A and B is a collection of functors from A to B together with a collection of morphisms that satisfy properties generalising those of derived functors. A universal δ-functor is a δ-functor satisfying a specific universal property related to extending morphisms beyond \"degree 0\". These notions were introduced by Alexander Grothendieck in his \"Tohoku paper\" to provide an appropriate setting for derived functors.".
- Delta-functor label "Delta-functor".
- Delta-functor sameAs Q5254536.
- Delta-functor sameAs m.0534bkk.
- Delta-functor sameAs Q5254536.
- Delta-functor wasDerivedFrom Delta-functor?oldid=662655812.
- Delta-functor depiction DeltaFunctorLongExactSequence.png.
- Delta-functor isPrimaryTopicOf Delta-functor.