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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 Behnke–Stein theorem ： ウィキペディア英語版 Behnke–Stein theorem In mathematics, especially several complex variables, the Behnke–Stein theorem states that a union of an increasing sequence $G\_k$ (i.e., $G\_k\; \backslash subset\; G\_$) of domains of holomorphy is again a domain of holomorphy. This is related to the fact that an increasing union of pseudoconvex domains is pseudoconvex and so it can be proven using that fact and the solution of the Levi problem. Though historically this theorem was in fact used to solve the Levi problem. == 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「Behnke–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.