• ON sbĝ - CLOSED SETS IN TOPOLOGICAL SPACES

K. BALA DEEPA ARASI, S. NAVANEETHA KRISHNAN

Abstract


In this paper, we introduce a new class of sets called sbĝ-closed sets in topological spaces. A subset A of X is said to be sbĝ-closed if sCl(A) Í U whenever A Í U and U is -open in X. Also we study some of its basic properties and investigate the relationship with other existing closed sets in topological space. As an application, we introduce two new spaces namely, Tsbĝ and Tαsbĝ.


Keywords


bĝ-open sets, semi-closure, semi-closed sets, sbĝ-closed sets, Tsbĝ-space and Tαsbĝ–space.

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