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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 Erdős space ： ウィキペディア英語版 Erdős space In mathematics, Erdős space is a topological space named after Paul Erdős. Erdős space is defined as the set ''E'' of points in the Hilbert space ''l''2 of square summable sequences having all coordinates rational. Erdős space is a totally disconnected, one-dimensional topological space. The space ''E'' is homeomorphic to the direct product ''E''×''E''. Endowed with the compact-open topology, the set of all homeomorphisms of the Euclidean space R''n'' leaving the set Q''n'' of vectors with rational coordinates invariant is homeomorphic to the Erdős space for ''n'' ≥ 2.〔Jan J. Dijkstra, Jan van Mill. Erdős Space and Homeomorphism Groups of Manifolds. Memoirs of the American Mathematical Society, Number 979.〕 == 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「Erdős space」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.