PlanetMath: Polish space

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Polish space

(Definition)

Equivalently, a topological space is a Polish space if it is separable and completely metrizable.

Examples of Polish spaces are the euclidean space $\mathbb{R}^n$ (with the usual topology), the Cantor space, and the Baire space.

"Polish space" is owned by Koro.

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Cross-references: Cantor space, usual topology, Euclidean space, completely metrizable, metric space, separable, complete, homeomorphic, topological space
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This is version 2 of Polish space, born on 2005-01-31, modified 2007-11-30.
Object id is 6693, canonical name is PolishSpace.
Accessed 2511 times total.

Classification:

54E50 (General topology :: Spaces with richer structures :: Complete metric spaces)

Pending Errata and Addenda

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