# Category:T1 Spaces

This category contains results about $T_1$ (Fréchet) spaces in the context of Topology.

$\left({S, \tau}\right)$ is a Fréchet space or $T_1$ space if and only if:

$\forall x, y \in S$ such that $x \ne y$, both:
$\exists U \in \tau: x \in U, y \notin U$
and:
$\exists V \in \tau: y \in V, x \notin V$

## Subcategories

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

## Pages in category "T1 Spaces"

The following 43 pages are in this category, out of 43 total.