Cg-Closed Sets And C-Normal Spaces

In this paper, we introduced a new class of sets called C-generalized closed (briefly Cg-closed) set which is a simultaneous generalization of C-closed and g-closed sets. First we investigated basic some properties of Cg-closed sets and then we obtained the relationship of Cg-closed sets with some other existing generalized closed sets. Moreover, we introduced the notion of C-Normal space by using C-closed sets, also we obtained some basic characterizations, properties and preservation theorems of C-normal spaces. Further, we also introduced some function related to Cg-open sets and investigated their properties with C-normal spaces.