Infra bi-Topological space

 

Riad K. Al-Hamido

Department of Mathematics, College of Science, AlFurat University, Deir-ez-Zor, Syria

Email: riad-hamido1983@hotmail.com  

Tel.: (+963988619783)

 

 

Abstract

  In this paper, we introduce infra bi-topological structure which is a more general structure than infra-topological spaces. This new space make us enable to increate a new sub-classes of sets, called  infra bi-open (bi-closed) sets,  pairwise infra-open (closed) sets. also we define infra bi-closure, pairwise infra bi-interior and their basic properties are presented. The relations of these concepts with their counterparts in infra-topological space s are given and many examples are presented.

Keywords: Infra bi-topological spaces; pairwise infra-open (closed) sets; infra bi-open  (bi-closed) sets.