A duality involving Borel spaces

被引：2
|
作者：
Baboolal, D. [1 ]
Ghosh, Partha Pratim [1 ]
机构：
[1] Univ KwaZulu Natal, Sch Math Sci, ZA-4041 Durban, South Africa
来源：
JOURNAL OF LOGIC AND ALGEBRAIC PROGRAMMING | 2008年 / 76卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Borel spaces; Boolean sigma-frames; adjunction;
D O I：
10.1016/j.jlap.2008.02.009
中图分类号：
学科分类号：
摘要：
The purpose of the paper is to show that there is a dual equivalence between sober Borel spaces and spatial Boolean sigma-frames. We show that a discrete space is sober, if and only if, its cardinality is non-measurable and also show that many well known Borel spaces are sober. (C) 2008 Elsevier Inc. All rights reserved.
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页码：209 / 215
页数：7
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