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

Authors

  • Run Xiang Li Beijing Institute of Technology.
  • Fu-Gui Shi Beijing Institute of Technology.

DOI:

https://doi.org/10.4067/S0716-09172010000200005

Keywords:

L-fuzzy topology, L-fuzzy countable compactness, the L-fuzzy Lindelöf property, topología L-difusa, compacidad L-difusa contable, propiedad L-difusa de Lindelöf.

Abstract

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.

Author Biographies

Run Xiang Li, Beijing Institute of Technology.

Department of Mathematics, School of Science.

Fu-Gui Shi, Beijing Institute of Technology.

Department of Mathematics, School of Science.

References

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Published

2010-08-01

How to Cite

[1]
R. Xiang Li and F.-G. Shi, “Countable compactness and the lindelof property in L-fuzzy topological spaces.”, Proyecciones (Antofagasta, On line), vol. 29, no. 2, pp. 123-135, Aug. 2010.

Issue

Section

Artículos