Definition:Fréchet Space (Topology)/Definition 2
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Definition
Let $T = \struct {S, \tau}$ be a topological space.
$\struct {S, \tau}$ 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.
Sources
- 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text I$: Basic Definitions: Section $2$: Separation Axioms