New types of β-generalized and β-separate axioms for topological spaces

Abstract EN

Abstract The aim of this paper is to present and study some new types of separation axioms called β-generalized separation axioms, termed by generalized β-Ri, i = 0,1 and generalized β-Ti, i = 0,1,2.

The axioms were presented by using generalized β- open sets in topological spaces according to Ganster and Steiner.

The study Showed the connections, properties and characteristics between these axioms provided with examples and theorems.