# Definition:Fréchet Space (Topology)/Definition 2

## Definition

Let $T = \left({S, \tau}\right)$ be a topological space.

$\left({S, \tau}\right)$ is a Fréchet space or $T_1$ space if and only if all points of $S$ are closed in $T$.

## Also see

• Results about $T_1$ (Fréchet) spaces can be found here.

## Source of Name

This entry was named for Maurice René Fréchet.