beeta haz-normal spaces

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