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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 Borel isomorphism ： ウィキペディア英語版 Borel isomorphism In mathematics, Borel isomorphism is a bijective Borel function from one Polish space to another Polish space. Borel isomorphisms are closed under composition and under taking of inverses. The set of Borel isomorphisms from a Polish space to itself clearly forms a group under composition. Borel isomorphisms on Polish spaces are analogous to homeomorphisms on topological spaces: both are bijective and closed under composition, and a homeomorphism and its inverse are both continuous, instead of both being Borel measurable. ==References== * Alexander S. Kechris (1995) ''Classical Descriptive Set Theory'', Springer-Verlag. 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「Borel isomorphism」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.