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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 Pairwise Stone space ： ウィキペディア英語版 Pairwise Stone space In mathematics and particularly in topology, pairwise Stone space is a bitopological space $\backslash scriptstyle\; (X,\backslash tau\_1,\backslash tau\_2)$ which is pairwise compact, pairwise Hausdorff, and pairwise zero-dimensional. Pairwise Stone spaces are a bitopological version of the Stone spaces. Pairwise Stone spaces are closely related to spectral spaces. Theorem:〔G. Bezhanishvili, N. Bezhanishvili, D. Gabelaia, A. Kurz, (2010). Bitopological duality for distributive lattices and Heyting algebras. ''Mathematical Structures in Computer Science'', 20.〕 If $\backslash scriptstyle\; (X,\backslash tau)$ is a spectral space, then $\backslash scriptstyle\; (X,\backslash tau,\backslash tau^$ *) is a pairwise Stone space, where $\backslash scriptstyle\; \backslash tau^$ * is the de Groot dual topology of $\backslash scriptstyle\; \backslash tau$ . Conversely, if $\backslash scriptstyle\; (X,\backslash tau\_1,\backslash tau\_2)$ is a pairwise Stone space, then both $\backslash scriptstyle\; (X,\backslash tau\_1)$ and $\backslash scriptstyle\; (X,\backslash tau\_2)$ are spectral spaces. ==See also== * Bitopological space * Duality theory for distributive lattices 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「Pairwise Stone 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.