• 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.
Keywords
Topological space, -closed set, -closed set, -open set, -closed set, -continuous function, lc*-continuous function, T -space, gT -space.
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