# Category:Perfectly T4 Spaces

This category contains results about perfectly $T_4$ spaces.

$T$ is a perfectly $T_4$ space if and only if:

$(1): \quad T$ is a $T_4$ space
$(2): \quad$ Every closed set in $T$ is a $G_\delta$ set.

That is:

Every closed set in $T$ can be written as a countable intersection of open sets of $T$.

## Subcategories

This category has only the following subcategory.

## Pages in category "Perfectly T4 Spaces"

The following 4 pages are in this category, out of 4 total.