# Category:Definitions/Closed Sets

This category contains definitions related to Closed Sets in the context of Topology.

Related results can be found in Category: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 $T$.

## Pages in category "Definitions/Closed Sets"

The following 9 pages are in this category, out of 9 total.