Concept information
Preferred term
localization of a category
Definition
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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.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Localization_of_a_category)
Broader concept
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-BGZ75P9J-H
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