?-Normal and ?-Regular Spaces in Topological Spaces

Hamant Kumar

Abstract: Abstract: The aim of this paper is to introduce and study two new classes of spaces, namely ?-normal and ?-regular spaces in topological spaces. The relationships among normal, p-normal, ?-normal, ?-normal and ?-normal spaces are investigated. Moreover, we introduced some functions such as g?-closed, ?-g?-closed, pre ?-open. We obtained some characterizations of ?-normal and ?-regular spaces, properties of the forms of g?-closed functions and preservation theorems for ?-normal and ?-regular spaces.

Keywords: ?-closed sets; ?-normal, ?-regular spaces; g?-closed and ?-g?-closed functions.