Realcompactness and certain types of subframes

被引：0
|
作者：
Themba Dube
机构：
[1] University of South Africa,Department of Mathematical Sciences
来源：
Algebra universalis | 2008年 / 58卷
关键词：
06D22; 54D60; 54C10; frame; subframe; closed subframe; perfect subframe; flat subframe; realcompact; almost realcompact; -realcompact; -realcompact; weakly realcompact;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
If a frame satisfies a property which is some variant of realcompactness, then certain types of its subframes inherit the property. Conversely, there are instances where a frame has a subframe satisfying some such property only if the frame itself satisfies the property. We analyze these phenomena for the case of realcompactness, almost realcompactness, a-realcompactness, c-realcompactness and weak realcompactness vis-a-vis perfect subframes and flat subframes.
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页码：181 / 202
页数：21
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