On \(sg\)-regular space (Q2726135)

A topological space is called \(sg\)-regular if for each \(sg\)-closed set \(F\) and each point \(x\notin F\) there exist disjoint semi-open sets \(U\) and \(V\) containing \(F\) and \(x\), respectively. The authors introduce and study this notion to some extent. In particular, it is shown that every semi-regular semi-\(T_{1/2}\) space is \(sg\)-regular, and that the semi-homeomorphic image of a \(sg\)-regular space is \(sg\)-regular.