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- Localization_of_a_category abstract "In mathematics, localization of a category consists of adding to a category inverse morphisms for some collection of morphisms, constraining them to become isomorphisms. This is formally similar to the process of localization of a ring; it in general makes objects isomorphic that were not so before. In homotopy theory, for example, there are many examples of mappings that are invertible up to homotopy; and so large classes of homotopy equivalent spaces. Calculus of fractions is another name for working in a localized category.".
- Localization_of_a_category wikiPageID "611460".
- Localization_of_a_category wikiPageLength "8623".
- Localization_of_a_category wikiPageOutDegree "54".
- Localization_of_a_category wikiPageRevisionID "666283122".
- Localization_of_a_category wikiPageWikiLink Abelian_category.
- Localization_of_a_category wikiPageWikiLink Abelian_group.
- Localization_of_a_category wikiPageWikiLink Abelian_variety.
- Localization_of_a_category wikiPageWikiLink Bousfield_localization.
- Localization_of_a_category wikiPageWikiLink Category:Category_theory.
- Localization_of_a_category wikiPageWikiLink Category:Localization_(mathematics).
- Localization_of_a_category wikiPageWikiLink Category_(mathematics).
- Localization_of_a_category wikiPageWikiLink Class_(set_theory).
- Localization_of_a_category wikiPageWikiLink Commutative_ring.
- Localization_of_a_category wikiPageWikiLink David_Mumford.
- Localization_of_a_category wikiPageWikiLink Dennis_Sullivan.
- Localization_of_a_category wikiPageWikiLink Derived_category.
- Localization_of_a_category wikiPageWikiLink Direct_sum.
- Localization_of_a_category wikiPageWikiLink Endofunctor.
- Localization_of_a_category wikiPageWikiLink Ergebnisse_der_Mathematik_und_ihrer_Grenzgebiete.
- Localization_of_a_category wikiPageWikiLink Functor.
- Localization_of_a_category wikiPageWikiLink Homological_algebra.
- Localization_of_a_category wikiPageWikiLink Homotopical_algebra.
- Localization_of_a_category wikiPageWikiLink Homotopy.
- Localization_of_a_category wikiPageWikiLink Homotopy_category.
- Localization_of_a_category wikiPageWikiLink Homotopy_equivalent.
- Localization_of_a_category wikiPageWikiLink Homotopy_theory.
- Localization_of_a_category wikiPageWikiLink Ideal_(ring_theory).
- Localization_of_a_category wikiPageWikiLink Idempotence.
- Localization_of_a_category wikiPageWikiLink Idempotent.
- Localization_of_a_category wikiPageWikiLink Isogeny.
- Localization_of_a_category wikiPageWikiLink Isomorphism.
- Localization_of_a_category wikiPageWikiLink Iwasawa_theory.
- Localization_of_a_category wikiPageWikiLink Jean-Pierre_Serre.
- Localization_of_a_category wikiPageWikiLink Kernel_(category_theory).
- Localization_of_a_category wikiPageWikiLink Krull_dimension.
- Localization_of_a_category wikiPageWikiLink Localization_of_a_module.
- Localization_of_a_category wikiPageWikiLink Localization_of_a_ring.
- Localization_of_a_category wikiPageWikiLink Localization_of_a_topological_space.
- Localization_of_a_category wikiPageWikiLink Mathematics.
- Localization_of_a_category wikiPageWikiLink Model_category.
- Localization_of_a_category wikiPageWikiLink Module_(mathematics).
- Localization_of_a_category wikiPageWikiLink Morphism.
- Localization_of_a_category wikiPageWikiLink Morphisms.
- Localization_of_a_category wikiPageWikiLink Proper_class.
- Localization_of_a_category wikiPageWikiLink Quasi-isomorphism.
- Localization_of_a_category wikiPageWikiLink Simplicial_localization.
- Localization_of_a_category wikiPageWikiLink Support_of_a_module.
- Localization_of_a_category wikiPageWikiLink Topological_space.
- Localization_of_a_category wikiPageWikiLink Unit_(ring_theory).
- Localization_of_a_category wikiPageWikiLink Universal_property.
- Localization_of_a_category wikiPageWikiLink Up_to.
- Localization_of_a_category wikiPageWikiLink Weak_equivalence_(homotopy_theory).
- Localization_of_a_category wikiPageWikiLinkText "Localization of a category".
- Localization_of_a_category wikiPageWikiLinkText "Localization of a category#Abelian varieties up to isogeny".
- Localization_of_a_category wikiPageWikiLinkText "Localizing".
- Localization_of_a_category wikiPageWikiLinkText "Serre's C-theory".
- Localization_of_a_category wikiPageWikiLinkText "category of fractions".
- Localization_of_a_category wikiPageWikiLinkText "localization of a category".
- Localization_of_a_category wikiPageWikiLinkText "localization".
- Localization_of_a_category wikiPageWikiLinkText "localizing".
- Localization_of_a_category hasPhotoCollection Localization_of_a_category.
- Localization_of_a_category wikiPageUsesTemplate Template:Cite_book.
- Localization_of_a_category subject Category:Category_theory.
- Localization_of_a_category subject Category:Localization_(mathematics).
- Localization_of_a_category type Article.
- Localization_of_a_category type Article.
- Localization_of_a_category type Function.
- Localization_of_a_category comment "In mathematics, localization of a category consists of adding to a category inverse morphisms for some collection of morphisms, constraining them to become isomorphisms. This is formally similar to the process of localization of a ring; it in general makes objects isomorphic that were not so before. In homotopy theory, for example, there are many examples of mappings that are invertible up to homotopy; and so large classes of homotopy equivalent spaces.".
- Localization_of_a_category label "Localization of a category".
- Localization_of_a_category sameAs m.02wd5s.
- Localization_of_a_category sameAs Q6664610.
- Localization_of_a_category sameAs Q6664610.
- Localization_of_a_category wasDerivedFrom Localization_of_a_category?oldid=666283122.
- Localization_of_a_category isPrimaryTopicOf Localization_of_a_category.