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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 Double origin topology ： ウィキペディア英語版 Double origin topology In mathematics, more specifically general topology, the double origin topology is an example of a topology given to the plane R2 with an extra point, say 0 *, added. In this case, the double origin topology gives a topology on the set , where ∐ denotes the disjoint union. == Construction == Given a point ''x'' belonging to ''X'', such that and , the neighbourhoods of ''x'' are those given by the standard metric topology on We define a countably infinite basis of neighbourhoods about the point 0 and about the additional point 0 *. For the point 0, the basis, indexed by ''n'', is defined to be:〔 :$\backslash \; N(0,n)\; =\; \backslash \; \backslash cup\; \backslash \; .$ In a similar way, the basis of neighbourhoods of 0 * is defined to be:〔 :$N(0^$ *,n) = \ \cup \ . 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「Double origin topology」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.