Almost α-regular spaces

Abstract

A new version of regularity is introduced as a simultaneous generalization of almost regularity and α-regulaity, and it is called almost α-regularity. We discuss many properties of this a new space and we give some properties that connect this a new space with some other topological spaces, also we present an examples and counter examples that show the relationships between almost α-regular and some other topological spaces.

Keywords

• Almost regular
• α-Regular
• Almost α-regular
• α-Normal
• Almost α-normal