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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Knaster's condition ： ウィキペディア英語版 Knaster's condition In mathematics, a partially ordered set ''P'' is said to have Knaster's condition upwards (sometimes property (K)) if any uncountable subset ''A'' of ''P'' has an upwards-linked uncountable subset. An analogous definition applies to Knaster's condition downwards. The property is named after Polish mathematician Bronisław Knaster. Knaster's condition implies a countable chain condition (ccc), and it is sometimes used in conjunction with a weaker form of Martin's axiom, where the ccc requirement is replaced with Knaster's condition. Not unlike ccc, Knaster's condition is also sometimes used as a property of a topological space, in which case it means that the topology (as in, the family of all open sets) with inclusion satisfies the condition. Furthermore, assuming MA($\backslash omega\_1$), ccc implies Knaster's condition, making the two equivalent. == References == * 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「Knaster's condition」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.