Review of g*G-axioms in Topological Spaces

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

How to Cite?: R. Sudha, K. Sivakamasundari, "Review of g*G-axioms in Topological Spaces", Volume 2 Issue 3, March 2013, International Journal of Science and Research (IJSR), Pages: 75-79, https://www.ijsr.net/getabstract.php?paperid=IJSRON2013360, DOI: https://dx.doi.org/10.21275/IJSRON2013360