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单词 CantorSpace
释义

Cantor space


The Cantor space, denoted by is the set of all infiniteMathworldPlanetmath binary sequences with the product topology. It is a perfect Polish spaceMathworldPlanetmath. It is a compactPlanetmathPlanetmath subspaceMathworldPlanetmath of the Baire spacePlanetmathPlanetmath, the set of all infinite sequences of integers (again with the natural product topology).

References.

  • Moschovakis, Yiannis N. Descriptive Set Theory. North-Holland Pub. Co. 1980, Amsterdam; New York.

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更新时间:2025/5/24 19:50:46