On m* - g-closed sets and m* - R-0 spaces in a hereditary m-space (X, m, H)

Abstract

Noiri and Popa [18] have defined the minimal local function and the minimal structure m(H)* which contains m in a hereditary minimal space (X, m, H). Moreover the concepts of m - H-g - closed sets and (A, m(H)*)-closed sets in a hereditary minimal space (X, m, H) are presented and investigated by Noiri and Popa in [18]. In this paper, we define the notions m*-g-closed sets and m*-H-g-closed sets in a hereditary minimal space (X, m, H) and explore some of their basic properties and few characterizations.