COUNTABLE COMPACTNESS AND THE LINDELOF PROPERTY IN L-FUZZY TOPOLOGICAL SPACES
In this paper, the concepts of L-fuzzy countable compactness and the L-fuzzy Lindelof 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 Lindel¨of property. An L...
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| Auteurs principaux: | , |
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| Langue: | English |
| Publié: |
Universidad Católica del Norte, Departamento de Matemáticas
2010
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| Accès en ligne: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000200005 |
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| Résumé: | In this paper, the concepts of L-fuzzy countable compactness and the L-fuzzy Lindelof 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 Lindel¨of property. An L-fuzzy set having the L-fuzzy Lindelof 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 Lindelof property are presented. |
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