A Remark on Wallman Compactification of Locales
Received:May 11, 2006  Revised:March 19, 2007
Key Words: normal locale   Wallman compactification   regular ideal.  
Fund Project:the National Natural Science Foundation of China (No.10331010).
Author NameAffiliation
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 
HE Wei School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu 210097, China 
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Abstract:
      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].
Citation:
DOI:10.3770/j.issn:1000-341X.2008.03.020
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