# Polish space

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 (http://planetmath.org/BaireSpace2).

Title Polish space PolishSpace 2013-03-22 14:59:18 2013-03-22 14:59:18 Koro (127) Koro (127) 5 Koro (127) Definition msc 54E50 TopologicalGSpace PolishGroup CategoryOfPolishGroups SpacesHomeomorphicToBaireSpace