ON LOCALLY COUNTABLY S-CLOSED AND LOCALLY RC-LINDELÖF SPACES

Abstract

The aim of this paper is to continue the study of some topological properties weaker than S-closed, this time via a local point of view. We show that every focally countably S-closed km-perfect space is extremally disconnected as well as that every locally rc-Lindelöf mildly Hausdorff space is δ-extremally disconnected.