# Definition:Closed Mapping

## Definition

Let $X, Y$ be topological spaces.

Let $f : X \to Y$ be a mapping.

If, for any closed set $V \subseteq X$, the image $f \left({V}\right)$ is closed in $Y$, then $f$ is referred to as a closed mapping.

## Also see

• Results about closed mappings can be found here.