Countable compactness and the lindelof property in l-fuzzy topological spaces.

• Xiang Li, Run ^[1] ; 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. 29, Nº. 2, 2010, págs. 123-135
• Idioma: inglés
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• Resumen

  • In this paper, the concepts of L-fuzzy countable compactness and the L-fuzzy Lindelöf property are introduced in L-fuzzy topological spaces, where L is a completely distributive DeMorgan algebra. An L-fuzzy compact L-fuzzy set is L-fuzzy countably compact and has the L-fuzzy Lindelöf property. An L-fuzzy set having the L-fuzzy Lindelöf property is L-fuzzy countably compact if and only if it is L-fuzzy compact. Many characterizations of L-fuzzy countable compactness and the L-fuzzy Lindelöf property are presented.