Abstract
In this paper, some characterizations of almost completely regular spaces are given. In particular, a few results on almost normal and almost completely regular spaces by Singal and Arya are improved. Some relations between ?-normality and almost complete regularity are presented. Also, we will introduce a new concept named local ?-normality and present some examples, theorems and some properties about it. At the end of this paper, we will prove that every finite almost normal space is ?-normal.
