Department of Mathematics, Victoria Institution (College), 78 B, A.P.C. Road, Kolkata – 700009, India.
Abstract: Fuzzy e-open set is introduced and studied in . Using this concept as a basic tool, in this paper we introduce α-e-almost compactness for crisp subsets of a topological space by using the concept of α-shading initiated by Gantner et.al , a generalized version of fuzzy covering. α-almost compactness is introduced in . Here it is shown that α-e-almost compactness implies α-almost compactness , but not conversely. To achieve the converse here we introduce α-e-regular space. We characterize α-e-almost compactness via ordinary net and power set filterbases.
Keywords: Fuzzy e-open set, α-e-almost compact set (space), α-e-regularity, αe–adherent point of net and filterbase, α-e-interiorly finite intersection property.
Pages: 285 – 294 | Full PDF Paper