On Generalized Regular Closed Sets

The aim of this paper is to introduce the concept of generalized regular closed sets and study some of its properties . The corresponding topological space formed by the family of these sets is also studied. It may be noted that regular closed set doesn’t forms even a supra topological space. Various researchers had studied the concept of generalized closed sets and regular generalized closed sets earlier. The generalized closed set is properly placed between the generalized regular closed sets and regular generalized closed set. The connection of the topological space formed by the newly defined sets with other topological space are also discussed in this paper and some applications of this newly defined set are also shown. Mathematics Subject Classification: 54A40