• K.Bala Deepa Arasi
• A.Balavickhneswari
• V.Maheswari

In 1970, Levine defined generalized closed sets in Topological Spaces. In 2013, R.Subasree and M.Maria Singam introduced a new set namely bg ̂-closed set which is defined as bcl(A)⊆U whenever A⊆U and U is g ̂-open in X. Later, they have established function such as bg ̂-continous function that is the inverse image of every closed set is bg ̂-closed in .bg ̂-irrresolute function if the inverse image every bg ̂-closed set is bg ̂-closed; bg ̂-open map means the image of every open set is bg ̂-open and bg ̂-closed map means the image of every closed set is bg ̂-closed. In 1973, Das defined semi-interior point and semi-limit point of a subset. Further, the semi-derived set of a topological space was defined and studied by him. Following this concept, we define bg ̂-limit point,bg ̂-derived set, bg ̂-border, bg ̂-frontier and bg ̂-exterior of a subset of topological spaces using the concept of bg ̂-closed sets which is defined as and we studied some of its properties.

bg ̂-limit point, bg ̂-derived set, bg ̂-border, bg ̂-frontier, bg ̂-exterior, bg ̂-closed set

"APPLICATION ON bg ̂-CLOSEDSETS IN TOPOLOGICAL SPACES", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.832-836, February-2019, Available :http://www.jetir.org/papers/JETIRAB06160.pdf

"APPLICATION ON bg ̂-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. pp832-836, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06160.pdf