翻訳と辞書 Words near each other ・ Final Stand Records ・ Final Star Force ・ Final statement ・ Final stellation of the icosahedron ・ Final Storm ・ Final Straw ・ Final Straw Tour ・ Final Stretch ・ Final Stretch (Porridge) ・ Final Stretch (video game) ・ Final Stroke ・ Final Symphony ・ Final Take ・ Final Theory ・ Final Theory (novel) ・ Final topology ・ Final Touches ・ Final utility ・ Final V.U. 1971–1973 ・ Final value theorem ・ Final Verdict ・ Final Victory ・ Final Vinyl ・ Final Vinyl (Hot Tuna album) ・ Final Vinyl (The Teardrops album) ・ Final vocabulary ・ Final Voyage ・ Final War ・ Final War of the Roman Republic ・ Final Warning 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 Final topology ： ウィキペディア英語版 Final topology In general topology and related areas of mathematics, the final topology (or strong topology or colimit topology or inductive topology) on a set $X$, with respect to a family of functions into $X$, is the finest topology on ''X'' which makes those functions continuous. The dual notion is the initial topology. == Definition == Given a set $X$ and a family of topological spaces $Y\_i$ with functions :$f\_i:\; Y\_i\; \backslash to\; X$ the final topology $\backslash tau$ on $X$ is the finest topology such that each :$f\_i:\; Y\_i\; \backslash to\; (X,\backslash tau)$ is continuous. Explicitly, the final topology may be described as follows: a subset ''U'' of ''X'' is open if and only if $f\_i^(U)$ is open in ''Y''''i'' for each ''i'' ∈ ''I''. 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「Final 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.