• A NEW NOTION OF OPEN SETS IN TOPOLOGICAL SPACES

S. Pious Missier; J. Arul Jesti*

• A NEW NOTION OF OPEN SETS IN TOPOLOGICAL SPACES

S. Pious Missier, J. Arul Jesti*

Abstract

The determination of this paper is to introduce the new family of sets, namely S_g^*-open sets and S_g^*-closed sets. Further we define S_g^*-interior and S_g^*-closure and discuss its properties. Additionally we relate S_g^*-open sets and S_g^*-closed sets with some other sets.

Keywords

S_g^*-open set, S_g^*-closed set, S_g^*-interior, S_g^*-closure.

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