pi beeta - normal spaces

In the present paper, we introduce a weaker version of normality called pi beeta-normality. We will prove that pi beeta-normality is a property, which is implied by beeta-normality and pi-normality. We will present some characterizations of pi beeta-normality and some examples to show relations between pi beeta- normality and other weaker version of normality such as beeta-normality, pi-normality, almost normality, almost beeta-normality, quasi normality, quasi beeta-normality, mild normality and mild beeta-normality.