fγ -PSg-closed sets in Fine Topological Spaces

Abstract

In this paper, we have defined a new class of sets called fγ-PS-generalized closed sets using fγ-PS-open set and fγ-PS-closure of a set in fine topological space. Also, we have defined some new functions, namely fγ-PS-g-continuous by using the fγ -PS-g-closed set and fγ-PS-g-open set in fine topological space with illustrative examples. AMS Subject Classification: 54XX, 54CXX. Key Words: Fine-open sets, fγ-PS-open sets, fγ-PS-closed sets, fγ-PS-g-continuous function.