Definition:Closed Mapping

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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.


Sources