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In the year 2014, the present authors introduced and studied the concept of ωα g -closed sets in topological spaces. The purpose of this paper to introduce a new class of locally closed sets called ωα g -locally closed sets (briefly lc gωα -sets) and study some of their properties. Also ωα g -locally closed continuous (briefly lc gωα -continuous) functions and its irresolute functions are introduced and studied their properties in topological spaces.

Locally <i>gωα</i>-Closed Sets in Topological Spaces