Localization of a category

id: localization-of-a-category-316-13177597
title: Localization of a category
text: 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
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Localization_of_a_category
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date modified: 2022-12-18T22:44:18Z
main entity: {"identifier":"Q6664610","url":"https://www.wikidata.org/entity/Q6664610"}
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