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Quasi-continuous function : ウィキペディア英語版 | Quasi-continuous function In mathematics, the notion of a quasi-continuous function is similar to, but weaker than, the notion of a continuous function. All continuous functions are quasi-continuous but the converse is not true in general. ==Definition==
Let be a topological space. A real-valued function is quasi-continuous at a point if for any every and any open neighborhood of there is a non-empty open set such that : Note that in the above definition, it is not necessary that .
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「Quasi-continuous function」の詳細全文を読む
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