Glossary of category theory

This is a glossary of properties and concepts in category theory in mathematics, including those in topos theory. (See also Outline of category theory.) Notes on foundations: In many expositions (e.g., Vistoli), the set-theoretic issues are ignored; this means, for instance, that one does not distinguish between small and large categories and that one can arbitrarily form a localization of a category.

Source: Wikipedia — Glossary of category theory (CC BY-SA 4.0)