On preparacompactness of uniform frames

被引：0
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作者：
Inderasan Naidoo
机构：
[1] University of South Africa,Department of Mathematical Sciences
来源：
Acta Mathematica Hungarica | 2011年 / 132卷
关键词：
uniform and metric frame; paracompact; strong Cauchy complete; weak Cauchy filter; complete; Lindelöf; precompact; separable; preparacompact; realcompact; 06D22; 54A20; 54D35; 54D60;
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摘要：
We present a pointfree characterization of paracompactness via strong Cauchy completeness. We also provide a filter characterization of separability in uniform frames and determine those uniform frames that have a Lindelöf and compact completion using the notion of preparacompactness. Further, as an application of preparacompactness, we provide filter conditions for the Lindelöfness of the Hewitt realcompactification υL of a completely regular frame L.
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页码：253 / 268
页数：15
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