| A Remark on Wallman Compactification of Locales |
| Received:May 11, 2006 Revised:March 19, 2007 |
| Key Words:
normal locale Wallman compactification regular ideal.
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| Fund Project:the National Natural Science Foundation of China (No.10331010). |
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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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