Mininal S_beta-open sets and Maximal S_beta-closed sets in topological spaces

Ardoon Jongrak

Abstract

In this work, new classes of sets called minimal Sβ-open set and maximal Sβ-closed set in topological spaces which were subclasses of Sβ-open and Sβ-closed sets respectively are introduced. We proved that the complement of
minimal Sβ-open set was maximal Sβ-closed set. Some properties of the new concept of both sets were studied.