Sβ−compactness in L-topological spaces

  • Fu-Gui Shi Beijing Institute of Technology.
Palabras clave: L-topology, βa−cover, Sβ−compactness, β−cluster point.


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.

Biografía del autor/a

Fu-Gui Shi, Beijing Institute of Technology.
Department of Mathematics, School of Science.


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Cómo citar
Shi, F.-G. (2017). Sβ−compactness in L-topological spaces. Proyecciones. Journal of Mathematics, 24(2), 153-165. https://doi.org/10.4067/S0716-09172005000200004