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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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