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

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

Result R4012 on D465: Hausdorff topological space

Polish space is Hausdorff

Formulation 0

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

Then $T$ is a D465: Hausdorff topological space.

Proofs

Proof 0

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

This result is a particular case of R499: Metrisable topological space is Hausdorff. $\square$