Sβ−compactness in L-topological spaces

• Shi, Fu-Gui ^[1]
  1. [1] Beijing Institute of Technology

     Beijing Institute of Technology

     China

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 24, Nº. 2, 2005, págs. 153-165
• Idioma: inglés
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• Resumen

  • 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.