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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 Infinite broom ： ウィキペディア英語版 Infinite broom In topology, the infinite broom is a subset of the Euclidean plane that is used as an example distinguishing various notions of connectedness. The closed infinite broom is the closure of the infinite broom, and is also referred to as the broom space.〔Chapter 6 exercise 3.5 of 〕 ==Definition== The infinite broom is the subset of the Euclidean plane that consists of all closed line segments joining the origin to the point (1, 1 / ''n'') as ''n'' varies over all positive integers, together with the interval (½, 1] on the ''x''-axis. The closed infinite broom is then the infinite broom together with the interval (0, ½] on the ''x''-axis. In other words, it consists of all closed line segments joining the origin to the point (1, 1 / ''n'') or to the point (1, 0).〔 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「Infinite broom」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.