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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 Split interval ： ウィキペディア英語版 Split interval In topology, the split interval is a space that results from splitting each interior point in a closed interval into two adjacent points. It may be defined as the lexicographic product (1 ) × without the points the isolated edge points, (0,1) and (1,0), equipped with the order topology. It is also known as the Alexandrov double arrow space or two arrows space. The split interval is compact Hausdorff, and it is hereditarily Lindelöf and hereditarily separable, but it is not metrizable; its metrizable subspaces are all countable. All compact, separable ordered spaces are order-isomorphic to a subset of the split interval. ==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「Split interval」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.