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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 Unicoherent space ： ウィキペディア英語版 Unicoherent space In mathematics, a unicoherent space is a topological space $X$ that is connected and in which the following property holds: For any closed, connected $A,\; B\; \backslash subset\; X$ with $X=A\; \backslash cup\; B$, the intersection $A\; \backslash cap\; B$ is connected. For example, any closed interval on the real line is unicoherent, but a circle is not. If a unicoherent space is more strongly hereditarily unicoherent (meaning that every subcontinuum is unicoherent) and arcwise connected, then it is called a dendroid. If in addition it is locally connected then it is called a dendrite. The Phragmen–Brouwer theorem states that, for locally connected spaces, unicoherence is equivalent to a separation property of the closed sets of the space. ==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「Unicoherent space」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.