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.
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页码：1115 / 1124
页数：10
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