• Jitendra Kumar
• Dr. B. P. Singh

In this paper, we introduce a new class of sets called gg*-closed sets in topological spaces. Also we study and investigate the relationship with other existing closed sets. Moreover, we introduce some functions such as g*-closed, gg*-closed, almost g*-closed, almost gg*-closed, gg*-continuous and almost gg*-continuous.We also study a new class of normal space called, quasi g*-normal space. The relationships among normal, -normal, quasi normal, softly normal, mildly normal, -normal,-normal, quasi -normal, softly -normal, mildly -normal, g*-normal, g*-normal,quasi g*-normal, softly g*-normal and mildly g*-normal spaces are investigated. Further we show that this property is a topological property and it is a hereditary property only with respect to closed domain subspaces. Utilizing gg*-closed sets and some functions, we obtained some characterizations and preservation theorems for quasi g*-normal spaces.

-open, g*-open, gg*-closed, -closed, g*-closed, and gg*-closed sets, gg*-closed, almost gg*-closed, gg*-continuous and almost gg*-continuous functions , quasi g*-normal spaces.

"QUASI g*- NORMAL SPACES AND gg*-CLOSED SETS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.908-919, June 2019, Available :http://www.jetir.org/papers/JETIR1907272.pdf

"QUASI g*- NORMAL SPACES AND gg*-CLOSED SETS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp908-919, June 2019, Available at : http://www.jetir.org/papers/JETIR1907272.pdf