In the original use of the term, a map or mapping is just a function (between sets). The term is often used for continuous functions between topological spaces and indeed also generally for any morphism in any category. Accordingly, for instance the term mapping space is often used synonymously for internal hom.
However, in the category theory literature one should be aware of a different usage; see bicategory of maps.
Last revised on October 10, 2017 at 21:10:48. See the history of this page for a list of all contributions to it.