Mildly B-Normal Spaces and rgB-Continuous Functions

The aim this paper is to introduce and study a new class of spaces, called mildly beeta-normal spaces. The relationship among normal, almost normal, quasi normal, mildly normal, beeta-normal spaces and their generalizations are investigated. Moreover, we introduce rgbeeta-continuous functions. Utilizing rgbeeta-continuity, we obtain characterization and preservation theorems for mildly beeta-normal spaces.