# Category:Perfectly T4 Spaces

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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 $T$.

## Pages in category "Perfectly T4 Spaces"

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