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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 Remmert–Stein theorem ： ウィキペディア英語版 Remmert–Stein theorem In complex analysis, a field in mathematics, the Remmert–Stein theorem, introduced by , gives conditions for the closure of an analytic set to be analytic. The theorem states that if ''F'' is an analytic set of dimension less than ''k'' in some complex manifold ''D'', and ''M'' is an analytic subset of ''D'' – ''F'' with all components of dimension at least ''k'', then the closure of ''M'' is either analytic or contains ''F''. The condition on the dimensions is necessary: for example, the set of points 1/''n'' in the complex plane is analytic in the complex plane minus the origin, but its closure in the complex plane is not. ==References== * 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「Remmert–Stein theorem」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.