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Feebly compact space : ウィキペディア英語版 | Feebly compact space
In mathematics, a topological space is feebly compact if every locally finite cover by nonempty open sets is finite. Some facts: * Every compact space is feebly compact. * Every feebly compact paracompact space is compact. * Every feebly compact space is pseudocompact but the converse is not necessarily true. * For a completely regular Hausdorff space the properties of being feebly compact and pseudocompact are equivalent. * Any maximal feebly compact space is submaximal.
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「Feebly compact space」の詳細全文を読む
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