SOME PROPERTIES OF CS-SEMISTRATIFIABLE SPACES

In this paper, we study spaces admitting cs-semistratification and cs-semistratifications with (CF) property. The class of cs-semistratifiable spaces lies between the class of k-semistratifiable spaces and that of semistratifiable spaces which lie between the class of semi-metric spaces and the class of spaces in which closed sets are $G_{\sigma}$ and really differs from the classes of stratifiable spaces.