Resumen de Sβ−compactness in L-topological spaces

Fu-Gui Shi

• In this paper, the notion of Sβ−compactness is introduced in L-topological spaces by means of open βa−cover. It is a generalization of Lowen’s strong compactness, but it is different from Wang’s strong compactness. Ultra-compactness implies Sβ−compactness. Sβ−compactness implies fuzzy compactness. But in general N-compactness and Wang’s strong compactness need not imply Sβ−compactness.