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 i...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 .展开更多
基金the National Natural Science Foundation of China （No. 10331010）.
文摘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 .
