Pi-normality in Topological Spaces and its Generalization

The main aim of this work is to make a comprehensive study of a weaker version of normality called π-normality. We give a survey study of π-closed π-open pre-closed and pre-open sets which are the keys of both π-normality and π-pre-normality.The notion of π-generalized closed sets is used to obtain various characterizations and preservation theorems of π-normality. Some different results are presented in this work.