Abstract
In this article, we study w-leaders of topological spaces, omega-continuous maps and w-spaces. We obtain some new properties of these structures. Among them, we show that the omega-leader of a T1P-space is a discrete space. We also prove that a topological space is separable if and only if its omega-leader is separable. It is shown that omega-continuous maps preserve the class of separable spaces and the class of sequentially compact spaces.