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Finite character : ウィキペディア英語版 | Finite character In mathematics, a family of sets is of finite character provided it has the following properties: #For each , every finite subset of belongs to . #If every finite subset of a given set belongs to , then belongs to . ==Properties== A family of sets of finite character enjoys the following properties: #For each , every (finite or infinite) subset of belongs to . # Tukey's lemma: In , partially ordered by inclusion, the union of every chain of elements of also belong to , therefore, by Zorn's lemma, contains at least one maximal element.
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「Finite character」の詳細全文を読む
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