• R.Umamaheswari
• K.Bala Deepa Arasi
• V.Maheswari

A subset A of a space ( X,τ ) is said to be sbĝ closed if scl(A)  U whenever A  U and U is bĝ-open in X . The complement of sbĝ closed set is called sbĝ-open set. A function f: (X,τ) → (Y,σ) is said to be sbĝ- continuous if f-1(v) is sbĝ closed in (X,τ) for every closed set V in (Y,σ ) . A function f: (X,τ) → (Y,σ) is said to be sbĝ- irresolute if f-1(V) is Sbĝ closed in (X, τ ) . In this paper we introduce three new topological spaces namely sbĝ-T0 , sbĝ-T1 and sbĝ-T2 spaces via sbĝ- open sets. Also we characterize their properties.

sbĝ closed set, sbĝ- open set, sbĝ-T0 spaces, sbĝ-T1 spaces, sbĝ-T2 spaces, sbĝ-kernel.

" SOME NEW SEPARATION AXIOMS IN TOPOLOGICAL SPACES ", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.336-341, February-2019, Available :http://www.jetir.org/papers/JETIRAB06059.pdf

" SOME NEW SEPARATION AXIOMS 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. pp336-341, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06059.pdf