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Polish Space

Description

A Polish space is a completely metrizable topological vector space X = (X, τ) which is separable relative to τ. In particular, a topological space X is Polish if and only if it is homeomorphic to a complete metric space M = (M, d) where M has a countable subset which is dense relative to d.

Relationship graph

More general classifications

Examples

History

Alfred Tarski | Kazimierz Kuratowski | Wacław Sierpiński

Timeline

References

François Trèves. Topological Vector Spaces, Distributions and Kernels. p. 549, 1967.

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