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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 Baire one star function ： ウィキペディア英語版 Baire one star function Baire one star function is a term from real analysis. A function $f:\; \backslash mathbb\; \backslash to\; \backslash mathbb$ is in class Baire * one, written $f\; \backslash in\; \backslash mathbf^\_$, and is called a Baire one star function, if for each perfect set $P\; \backslash in\; \backslash mathbb$, there is an open interval $I\; \backslash in\; \backslash mathbb$, such that $P\; \backslash cap\; I$ is nonempty, and the restriction $f\; |\_$ is continuous. The notion seems to have originated with B. Kerchheim in an article titled 'Baire one star functions' (Real Anal. Exch. 18 (1992/93), 385-399). The terminology is actually due to Richard O'Malley, 'Baire * 1, Darboux functions' Proc. Amer. Math. Soc. 60 (1976) 187-192. The concept itself (under a different name) goes back at least to 1951. See H. W. Ellis, 'Darboux properties and applications to nonabsolutely convergent integrals' Canad. Math. J., 3 (1951), 471-484, where the same concept is labelled as () (for generalized continuity). ==External links== *(A paper which defines class Baire * one ) 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「Baire one star function」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.