• M.Sagunthala
• A.Mari Maheswari
• K.Bala Deepa Arasi

In 1963, Levine Introduced the concept of semi-open sets in topological spaces. Biwas defined semi-closed sets in 1970. Crossley and Hildebrand defined semi-closure of sets and irresolute functions in 1971. In 1970, Levine defined generalized closed sets. Das defined semi-interior point and semi-limit point of a subset. The semi-derived set of a subset of a topological space was also defined and studied by him in 1973. Following him, now we define sbg ̂-limit point, sbg ̂-derived set, sbg ̂-border, sbg ̂-Fronterior and sbg ̂-Exterior of a subset of a topological spaces using the concept of sbg ̂-Closed sets. A subset A of a topological space (X,) is called sbg ̂-closedset if scl(A)U whenever AU and U is bg ̂-open in X. Also we defined some of its properties.

sbg ̂-limit point, sbg ̂-derived set, sbg ̂-border, sbg ̂-Fronterior, sbg ̂-Exterior and sbg ̂-Closed sets.

"APPLICATION ON sbg ̂-CLOSEDSETS IN TOPOLOGICAL SPACES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.742-747, February-2019, Available :http://www.jetir.org/papers/JETIRAB06141.pdf

"APPLICATION ON sbg ̂-CLOSEDSETS IN TOPOLOGICAL SPACES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp742-747, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06141.pdf