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SEPARABILITY IN LOCALES

 

作者: Themba Dube,  

 

期刊: Quaestiones Mathematicae  （Taylor Available online 1994）
卷期: Volume 17, issue 3  

页码: 333-338

 

ISSN:1607-3606

 

年代: 1994

 

DOI:10.1080/16073606.1994.9631768

 

出版商: Taylor & Francis Group

 

关键词: 06D20

 

数据来源: Taylor

 

摘要:

We introduce the notion of separability to locales. We prove the localic version of Urysohn's metrization theorem and show that, as in spaces, separability is countably productive. We also show that a normal regular locale is separable only if its Stone-Cech compactification is separable.

 

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