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

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

The aim of the present paper is to introduce the concept of α-ℽ compactness by means of -operation defined on the family of α-open sets of a topological space. We define the α-ℽconvergence,α-ℽaccumulation points of a filterbase and give some of their properties. Some characterizations and properties of α-ℽ-compact spaces are obtained.

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