• θω-CLOSED SETS IN TOPOLOGICAL SPACES

Abstract

In this paper, we offer a new class of sets called -closed sets in topological spaces and we study some of its basic properties. The family of -closed sets of a topological space forms a topology and is denoted by  . Notice that this class of sets lies between the class of -closed sets and the class of -closed sets. Using these sets, we obtain a decomposition of -continuity and we introduce new spaces called T and gT . Using these spaces we obtain another decomposition of T1/2-spaces.