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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 Descriptive set theory ： ウィキペディア英語版 Descriptive set theory In mathematical logic, descriptive set theory is the study of certain classes of "well-behaved" subsets of the real line and other Polish spaces. As well as being one of the primary areas of research in set theory, it has applications to other areas of mathematics such as functional analysis, ergodic theory, the study of operator algebras and group actions, and mathematical logic. == Polish spaces == Descriptive set theory begins with the study of Polish spaces and their Borel sets. A Polish space is a second countable topological space that is metrizable with a complete metric. Equivalently, it is a complete separable metric space whose metric has been "forgotten". Examples include the real line $\backslash mathbb$, the Baire space $\backslash mathcal$, the Cantor space $\backslash mathcal$, and the Hilbert cube $I^\{\backslash mathbb\{N\}\}$. 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「Descriptive set theory」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.