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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 Semialgebraic space ： ウィキペディア英語版 Semialgebraic space In mathematics, especially in real algebraic geometry, a semialgebraic space is a space which is locally isomorphic to a semialgebraic set. ==Definition== Let ''U'' be an open subset of R''n'' for some ''n''. A semialgebraic function on ''U'' is defined to be a continuous real-valued function on ''U'' whose restriction to any semialgebraic set contained in ''U'' has a graph which is a semialgebraic subset of the product space R''n''×R. This endows R''n'' with a sheaf $\backslash mathcal\_$ of semialgebraic functions. (For example, any polynomial mapping between semialgebraic sets is a semialgebraic function, as is the maximum of two semialgebraic functions.) A semialgebraic space is a locally ringed space $(X,\; \backslash mathcal\_X)$ which is locally isomorphic to R''n'' with its sheaf of semialgebraic functions. 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「Semialgebraic space」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.