A Four for the Price of One Duality Principle for Distributive Spaces

被引：0
|
作者：
Dirk Hofmann
机构：
[1] Department of Mathematics,Center for Research and Development in Mathematics and Applications
[2] University of Aveiro,undefined
来源：
Order | 2013年 / 30卷
关键词：
Topological space; Ordered set; Distributivity; Disconnected space; Idempotents split completion; Duality; 06A06; 06A75; 06D10; 06D22; 06D50; 06D75; 18C15; 54A20; 54F65;
D O I：
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学科分类号：
摘要：
In this paper we consider topological spaces as generalised orders and characterise those spaces which satisfy a (suitably defined) topological distributive law. Furthermore, we show that the category of these spaces is dually equivalent to a certain category of frames by simply observing that both sides represent the idempotents split completion of the same category.
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页码：643 / 655
页数：12
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