Editing Localization of a category (section)

== Related concepts ==

The [[localization of a topological space]], introduced by [[Dennis Sullivan]], produces another topological space whose homology is a localization of the homology of the original space.

A much more general concept from [[homotopical algebra]], including as special cases both the localization of spaces and of categories, is the ''[[Bousfield localization]]'' of a [[model category]]. Bousfield localization forces certain maps to become [[weak equivalence (homotopy theory)|weak equivalence]]s, which is in general weaker than forcing them to become isomorphisms.<ref>Philip S. Hirschhorn: ''Model Categories and Their Localizations'', 2003, {{isbn|0-8218-3279-4}}., Definition 3.3.1</ref>