α-ℽ-convergence, α-ℽ- accumulation and α-ℽ- compactness

Abstract

Abstract. The aim of the present paper is to introduce the concept of --compactness by means of -operation de…ned on the family of -open sets of a topological space. We de…ne the --convergence, --accumulation points of a …lterbase and give some of their properties. Some characterizations and properties of --compact spaces are obtained.