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Condensation point : ウィキペディア英語版 | Condensation point
In mathematics, a condensation point ''p'' of a subset ''S'' of a topological space, is any point ''p'', such that every open neighborhood of ''p'' contains uncountably many points of ''S''. Thus, according to the axiom of choice, "condensation point" is synonymous with "-accumulation point". ==Examples==
*If ''S'' = (0,1) is the open unit interval, a subset of the real numbers, then 0 is a condensation point of ''S''. *If ''S'' is an uncountable subset of a set ''X'' endowed with the indiscrete topology, then any point ''p'' of ''X'' is a condensation point of ''X'' as the only open neighborhood of ''p'' is ''X'' itself.
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「Condensation point」の詳細全文を読む
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