Source: wikibot/localization-of-a-category

= Localization of a category
{wiki=Localization_of_a_category}

In category theory, localization is a process that allows you to formally "invert" certain morphisms in a category, essentially creating a new category in which these morphisms are treated as isomorphisms. This process is analogous to inverting elements in a mathematical structure (like fractions in the integers to form the rationals) and is crucial for many constructions and applications in both abstract mathematics and applied areas.