In mathematics, the term mapping, sometimes shortened to map, refers to either a function, often with some sort of special structure, in particular when the relation is taken together with a set that constitutes the codomain, or a morphism in category theory, which generalizes the idea of a function. There are also a few, less common uses in logic and graph theory.
In many branches of mathematics, the term map is used to mean a function, sometimes with a specific property of particular importance to that branch.