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关于Locale Wallman紧化的一点注记

作者:admin | 日期:2025-08-19
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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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