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单词 BaireSpaceIsUniversalForPolishSpaces
释义

Baire space is universal for Polish spaces


The following result says that Baire spacePlanetmathPlanetmath, 𝒩, is universalPlanetmathPlanetmath for Polish spacesMathworldPlanetmath.

Theorem.

Let X be a nonempty Polish space. Then, there is a continuousPlanetmathPlanetmath and onto map f:NX.

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更新时间:2025/5/4 12:22:41