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单词 PolishSpace
释义

Polish space


A Polish spaceMathworldPlanetmath is a topological spaceMathworldPlanetmath that is homeomorphicMathworldPlanetmath to some completePlanetmathPlanetmath separable metric space.

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

Examples of Polish spaces are the euclidean space n (with the usual topology), the Cantor space, and the Baire spacePlanetmathPlanetmath (http://planetmath.org/BaireSpace2).

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更新时间:2025/5/4 9:42:59