Pre-Rg-open and Pre-Rg-closed Functions in Topology

Govindappa Navalagi, Sujata Mookanagoudar

Abstract: Abstract Levine in 1970, introduced the concept of generalized closed (g-closed ) sets in topological space and a class of topological spaces called T1/2spaces. Palaniappan et al in 1993, introduced the notions of regular generalized (in brief, rg-) closed sets, rg-open sets, rg-continuity and rg-irresoluteness and in 1997, Arokia Rani et al introduced and studied the concepts of rg-openness and rg-closedness in topology. In 2013, Navalagi et al have studied the concepts of pre-rg-openness and other allied rg-openness in topological spaces.The purpose of this paper is to investigate the concept of pre-Rg-open functions, pre-Rg-closed functions and other allied Rg-openness in topology.

Keywords: : regular open sets, regular closed sets, g-closed sets and rg-closed sets , rg-openness , rg-closedness ,rg-continuity , rg-irresoluteness