# Category:Closed Sets

This category contains results about Closed Sets in the context of Topology.
Definitions specific to this category can be found in Definitions/Closed Sets.

$H$ is closed (in $T$) if and only if its complement $S \setminus H$ is open in $T$.

That is, $H$ is closed if and only if $\left({S \setminus H}\right) \in \tau$.

That is, if and only if $S \setminus H$ is an element of the topology of $T$.

This also includes metric spaces.

## Subcategories

This category has the following 9 subcategories, out of 9 total.