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Resolvable space
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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)
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