R. Sudha, K. Sivakamasundari
Abstract: In this paper we introduced g*G-axioms in topological spaces. It was Gupta who first used connected sets to define a new kind of separation axioms known as G-axioms. Some of the G-axioms are , and axioms. Replacing open sets doing separation by g*-open sets in these axioms, new concepts of , and axioms are introduced and studied in this work. These new extensions are termed as some g*G-axioms. Non coincidence of these axioms is shown by various counter examples.
Keywords: Connected set, g*-open, g*-neighborhood, g*-closure