Definition:Fréchet Space (Topology)

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

Also known as
A Fréchet Space is also commonly referred to as a $T_1$ space. On both terms are used, frequently together.

A $T_1$ space is also known as an accessible space.

Also see

 * Equivalence of Definitions of $T_1$ Space
 * Definition:Tychonoff Separation Axioms