Category:Closed Sets

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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 $\paren {S \setminus H} \in \tau$.

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

This also includes metric spaces.


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

Pages in category "Closed Sets"

The following 70 pages are in this category, out of 70 total.