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Resolvable space : ウィキペディア英語版 | Resolvable space In topology, a topological space is said to be resolvable if it is expressible as the union of two disjoint dense subsets. For instance, the real numbers form a resolvable topological space because the rationals and irrationals are disjoint dense subsets. A topological space that is not resolvable is termed irresolvable. == Properties ==
* The product of two resolvable spaces is resolvable * Every locally compact topological space without isolated points is resolvable * Every submaximal space is irresolvable
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「Resolvable space」の詳細全文を読む
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