关于Locale Wallman紧化的一点注记

A Remark on Wallman Compactification of Locales

中文关键词:  正规locale  Wallman紧化  正则理想.

英文关键词:normal locale  Wallman compactification  regular ideal.

中文摘要:

      本文证明了在正规locale范畴中,Banaschewski-Mulvey形式的紧正则反射与Johnstone形式的Wallman紧化一致,从而推广了Johnstone在文献[4]中的主要结果.

英文摘要:

      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].