eng Ansari Education and Research Society Journal of Ultra Scientist of Physical Sciences August 2010 22 2 539 550 jusps-A 1003 article SHIKHA AGARWAL (manojshikha@rediffmail.com) 1 MANOJ GARG (garg_manoj1972@yahoo.co.in 2 C.K. GOEL 1 Department of Mathematics, Sir Chotu Ram Institute of Technology, C.C.S., Universtiy, Meerut (U.P.) INDIA P.G. Department of Mathematics, Nehru (P.G.) College, Chhibramau, Kannoj (U.P.) INDIA) <p style="text-align: justify;">In this paper we introduce a new class of sets namely *gs-closed sets which settled in between the class of g*-closed sets²² and the class of gs-closed sets¹³ then we study many basic properties of *gs-closed sets together with the relationship of these sets with some other sets. Applying these sets we introduce and study new class of spaces namely T_s-spaces, T_s*-spaces and *T_s-spaces. Further we introduce and study *gs-continuous maps and *gs-irresolute maps. Finally we introduce the concept of *gs-compactness and *gs-connectedness in topological spaces and study some of their properties.</p> <p>&nbsp;</p> https://www.ultrascientist.org/paper/1003/ gs-closed sets Ts-spaces gs-continuous maps gs-connectedness