翻訳と辞書 Words near each other ・ K-Swift ・ K-Swing ・ K-Swiss ・ K-System ・ K-system ・ K-T-B ・ K-tag ・ K-tai Investigator 7 ・ K-tel ・ K-the-I??? ・ K-theory ・ K-theory (physics) ・ K-theory spectrum ・ K-Tino ・ K-tool ・ K-topology ・ K-Town ・ K-Town (web series) ・ K-tree ・ K-trivial set ・ K-type asteroid ・ K-type main-sequence star ・ K-UTE ・ K-value ・ K-Variegated graph ・ K-vector ・ K-Verband ・ K-vertex-connected graph ・ K-Ville ・ K-Ville (TV series) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク K-topology ： ウィキペディア英語版 K-topology In mathematics, particularly topology, the K-topology is a topology that one can impose on the set of all real numbers which has some interesting properties. Relative to the set of all real numbers carrying the standard topology, the set ''K'' = is not closed since it doesn’t contain its (only) limit point 0. Relative to the K-topology however, the set K is automatically decreed to be closed by adding ‘more’ basis elements to the standard topology on R. Basically, the K-topology on R is strictly finer than the standard topology on R. It is mostly useful for counterexamples in basic topology. ==Formal definition== Let R be the set of all real numbers and let ''K'' = . Generate a topology on R by taking basis as all open intervals (''a'', ''b'') and all sets of the form (''a'', ''b'') – ''K'' (the set of all elements in (''a'', ''b'') that are not in ''K''). The topology generated is known as the K-topology on R. Note that: The sets described in the definition do form a basis (they satisfy the conditions to be a basis). 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「K-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.