Feeble regular and feeble normal spaces in $\alpha$-topological spaces using graph

Document Type : Research Paper


Department of Mathematics, College of Education for Pure Sciences (Ibn Al-Haitham), University of Baghdad, Iraq


This paper introduces some properties of separation axioms called $\alpha$ -feeble regular and $\alpha$ -feeble normal spaces (which are weaker than the usual axioms) by using elements of graph which are the essential parts of our $\alpha$ -topological spaces that we study them. Also, it presents some dependent concepts and studies their properties and some relationships between them.