THE WALLMAN COMPACTIFICATION OF FRAMES
作者:
Nizar Marcus,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1998)
卷期:
Volume 21,
issue 1-2
页码: 109-116
ISSN:1607-3606
年代: 1998
DOI:10.1080/16073606.1998.9632030
出版商: Taylor & Francis Group
关键词: 18D35;54D35;54D52;54J05;frame;σ-frame;compactification;pseudocompact
数据来源: Taylor
摘要:
We show that aB-conjunctive frameL, whereBis a normal base forLgives rise to a strong inclusion onLand therefore a compactification ofL.The resulting compact regular frame corresponds to the quotient frame obtained by Johnstone in his construction of the Wallman compactification for frames. It is also shown that, in the presence of pseudocompactness the Wallman compactification and the Wallman realcompactification coincide.
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