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In mathematics, a Parovicenko space is a space similar to the space of non-isolated points of the Stone–Čech compactification of the integers. ==Definition== A Parovicenko space is a topological space ''X'' satisfying the following conditions: *''X'' is compact Hausdorff *''X'' has no isolated points *''X'' has weight ''c'', the cardinality of the continuum (this is the smallest cardinality of a base for the topology). *Every two disjoint open ''F''σ subsets of ''X'' have disjoint closures *Every nonempty ''G''δ of ''X'' has non-empty interior. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Parovicenko space」の詳細全文を読む スポンサード リンク
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