The Stone–Cech compactification of locales, III

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• 作者：Banaschewski ; Bernhard ; Mulvey ; Christopher J.
• 关键词：Primary ; 06D22 ; secondary ; 03F55 ; 18D25 ; 54D30
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2003
• 出版时间：December 1, 2003
• 年：2003
• 卷：185
• 期：1-3
• 页码：25-33
• 全文大小：134 K

文摘

The Stone-Cech compactification of a locale L is shown to be obtained constructively by taking the Lindenbaum locale of the theory of almost prime completely regular filters on L. Modifying the theory by replacing the completely below relation by the strongly below relation yields instead the compact regular reflection, with corresponding results for the compact zero-dimensional reflection, indeed for any compactification of a locale.