Category:T0 Spaces

This category contains results about T0 Spaces in the context of Topology.

$\left({S, \tau}\right)$ is a Kolmogorov space or $T_0$ space if and only if:

$\forall x, y \in S$ such that $x \ne y$, either:
$\exists U \in \tau: x \in U, y \notin U$
or:
$\exists U \in \tau: y \in U, x \notin U$

Subcategories

This category has the following 4 subcategories, out of 4 total.