Category:Definitions/Codomains (Relation Theory)

This category contains definitions related to codomains in the context of Relation Theory.
Related results can be found in Category:Codomains (Relation Theory).

Relation

The codomain of a relation $\RR \subseteq S \times T$ is $T$.

It can be denoted $\Cdm \RR$.

Mapping

The term codomain is usually seen when the relation in question is actually a mapping:

Let $S$ and $T$ be sets.

Let $f: S \to T$ be a mapping.

The codomain of $f$ is $T$.

It is denoted on $\mathsf{Pr} \infty \mathsf{fWiki}$ by $\Cdm f$.