Abstract. In this paper, we introduce and study the notions of θ-g-derived, θ-g-border, θ-g-frontier and θ-g-exterior of a set via the notion of θ-g-open sets. Nakaoka and Oda ( and ) introduced the notion of maximal open sets and minimal closed sets. By the same token, we introduce new classes of sets called maximal θ-g-open sets, minimal θ-g-closed sets, θ-g-semi maximal open sets and θ-g-semi minimal closed sets and investigate some of their fundamental properties. MSC 2000. Primary: 54B05, 54C08; Secondary: 54D05. Key words. Topological space, θ-g-border, θ-g-frontier, maximal open sets, minimal closed sets, θ-open sets, maximal θ-g-open sets
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