ThmDex – An index of mathematical definitions, results, and conjectures.

ThmDex – An index of mathematical definitions, results, and conjectures.

Result R4013 on D784: Fréchet topological space

Polish space is Fréchet

Formulation 0

Let $T = (X, \mathcal{T})$ be a D2299: Polish topological space.

Then $T$ is a D784: Fréchet topological space.

Proofs

Proof 0

Let $T = (X, \mathcal{T})$ be a D2299: Polish topological space.

This result is a particular case of R4009: Metrisable topological space is Fréchet. $\square$