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- Closed_category abstract "In category theory, a branch of mathematics, a closed category is a special kind of category.In a locally small category, the external hom (x, y) takes two objects to the set of morphisms. So in the category of sets, this is an object of the category itself. In the same vein, in a closed category, the morphisms from one object to another can be seen as lying inside the category. This is the internal hom [x,y].Every closed category has a forgetful functor to the category of sets, which in particular takes the internal hom to the external hom.".
- Closed_category wikiPageID "1397197".
- Closed_category wikiPageLength "2165".
- Closed_category wikiPageOutDegree "22".
- Closed_category wikiPageRevisionID "626081850".
- Closed_category wikiPageWikiLink Cartesian_closed_category.
- Closed_category wikiPageWikiLink Category:Closed_categories.
- Closed_category wikiPageWikiLink Category_(mathematics).
- Closed_category wikiPageWikiLink Category_of_sets.
- Closed_category wikiPageWikiLink Category_theory.
- Closed_category wikiPageWikiLink Closed_monoidal_category.
- Closed_category wikiPageWikiLink Compact_closed_category.
- Closed_category wikiPageWikiLink Dinatural_transformation.
- Closed_category wikiPageWikiLink Forgetful_functor.
- Closed_category wikiPageWikiLink Hom_functor.
- Closed_category wikiPageWikiLink Linear_map.
- Closed_category wikiPageWikiLink Mathematics.
- Closed_category wikiPageWikiLink Natural_transformation.
- Closed_category wikiPageWikiLink Topos.
- Closed_category wikiPageWikiLink Vector_space.
- Closed_category wikiPageWikiLink Yoneda_lemma.
- Closed_category wikiPageWikiLinkText "Closed category".
- Closed_category wikiPageWikiLinkText "closed categories".
- Closed_category wikiPageWikiLinkText "closed category".
- Closed_category wikiPageWikiLinkText "closed".
- Closed_category id "closed+category".
- Closed_category title "Closed category".
- Closed_category wikiPageUsesTemplate Template:Categorytheory-stub.
- Closed_category wikiPageUsesTemplate Template:Nlab.
- Closed_category wikiPageUsesTemplate Template:Portal.
- Closed_category subject Category:Closed_categories.
- Closed_category hypernym Kind.
- Closed_category comment "In category theory, a branch of mathematics, a closed category is a special kind of category.In a locally small category, the external hom (x, y) takes two objects to the set of morphisms. So in the category of sets, this is an object of the category itself. In the same vein, in a closed category, the morphisms from one object to another can be seen as lying inside the category.".
- Closed_category label "Closed category".
- Closed_category sameAs Q5135329.
- Closed_category sameAs m.04zbfq.
- Closed_category sameAs Q5135329.
- Closed_category wasDerivedFrom Closed_category?oldid=626081850.
- Closed_category isPrimaryTopicOf Closed_category.