Extensions of the stone duality to the category of boolean spaces and continuous maps

被引：3

作者：

Dimov, G. ^{[1
]}

Ivanova-Dimova, E. ^{[1
]}

机构：

[1] Sofia Univ, Fac Math & Informat, 5 J Bourchier Blvd, Sofia 1164, Bulgaria

来源：

QUAESTIONES MATHEMATICAE | 2022年 / 45卷 / 07期

关键词：

(Complete atomic) Boolean algebra; Boolean (l)(d)z-algebra; Boolean (l)(m)z- map; Stone space; Boolean space; duality;

D O I：

10.2989/16073606.2021.1928324

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using our results from [4], we present a new proof of the extension of the Stone duality theorem to the category BooleSp of zero-dimensional locally compact Hausdorff spaces (= Boolean spaces) and continuous maps that was provided by Dimov [3], and obtain two new duality theorems for the category BooleSp.

引用

页码：1115 / 1124

页数：10

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