• e*-Almost Compactness via α-shading

    Anjana Bhattacharyya

    Department of Mathematics, Victoria Institution (College), 78 B, A.P.C. Road, Kolkata – 700009, India.

    Abstract: This paper deals with a new type of compactness viz., αe*-almost compactness for crisp subsets of a space X where the underlying structure on X is a fuzzy topology. Several characterizations are made by using ordinary net and power set filterbases as basic tools. It is shown that αe*-almost compactness implies α-almost compactness but the converse is true only in αe*-regular space.

    Keywords: α-e*almost compactness, α-e*almost compact set, α-e*regularity, αe*adherent point of net and filterbase, α-e*interiorly finite intersection property.

    Pages: 163 – 176 | Full PDF Paper