¹P.G. Department of Mathematics, Nehru Degree College, Chhibramau, Kannauj, U.P., India
²Department of Mathematics, S. C. R. I. E. T., C. C. S. University, Meerut (U.P.) India

E-mail: garg_manoj1972@yahoo.co.in

http://dx.doi.org/10.22147/jusps-A/280502

In this paper, we introduce and study a new class of sets namely 0g -closed sets which settled in between the class of g*-closed sets21 and the class of g-closed sets3 and then we study many basic properties of 0g -closed sets together with the relationship of these sets with some other sets. As applications of 0g -closes sets, we introduce some new separation properties, namely 0 1/ 2 T -spaces, 0 1/ 2 T -spaces, 0 T1/ 2 -spaces and0 T1/ 2 -spaces. Further we introduce and study new types of continuous maps called 0g -continuous maps and 0g -irresolute maps.