Locale Wallman紧化的一点注记

关于Locale Wallman紧化的一点注记

In this note, we prove that the Banaschewski-Mulvey's compact regular reflection construction of locales is isomorphic to the Johnstone Wallman compcactification of locales.We show that a subfit semi-normal locale is normal, but the converse is not true in general.Furthermore, we generalize the main result in [4].

作 者： 孙向荣 贺伟 SUN Xiang Rong HE Wei   作者单位： 孙向荣,SUN Xiang Rong(School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu 210097, China;College of Mathematics and Physics, Nanjing University of Posts and Telecommunications, Jiangsu 210046, China)

贺伟,HE Wei(School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu 210097, China) 

刊 名： 数学研究与评论  ISTIC PKU 英文刊名： JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION  年，卷(期)： 2008 28(3)  分类号： O153.1 O189.1  关键词： normal locale   Wallman compactification   regular ideal  

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