On a Generalization of Normal, Almost Normal and Mildly Normal Spaces

Erdal Ekici, Takashi Noiri

In this paper, we introduce the notions of $\delta p$-normal spaces, almost $\delta p$-normal spaces, mildly $\delta p$-normal spaces, $g\delta p$-closed sets and the forms of generalized $\delta$-preclosed functions. We obtain characterizations and the relationships of such normal spaces, properties of the forms of generalized $\delta$-preclosed functions and preservation theorems.