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

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.

Keywords:

alpha-feebly regular , alpha-quasiregular , alpha-feebly normal