关于局部S-闭空间的一个注记

Note On Locally S-Closed Spaces

本注记给出局部S-闭空间X是极不连通的充要条件是X中每个相对X是S-闭的半正则于集是闭集。这一结果不仅统一推广了T．Noiri主要的两条定理，而且改进了王国俊的两条定理。

A Locally S-Closed Space is extremally disconnected if and only if every semi- regular S-closed set relative to X is Closed set. This generalizes the results given by T. Noiri and Wang Guojun