A unified theory for R_0 , R_1 and certain other separation properties and their variant forms

Abstract

The purpose of the present paper is towards working out a unifiedversion of the study of certain separation axioms and their neighbouring forms, as are already available in the literature. In terms of an operation, as initiated by Á. Caszár, we introduce unified definitions of R0, R1, T0 and T1 spaces and derive results concerning them from which many of the existing results follow as special cases.

Keywords

• operation
• psi-open set
• -closure
• psi-kernel
• psi-R_0 space
• psi-R_1 space.