A new form of fuzzy ?-compactness

Authors

  • Fu-Gui Shi Beijing Institute of Technology.

DOI:

https://doi.org/10.4067/S0716-09172005000200002

Keywords:

L-topology, Compactness, β-compactness, Countable β-compactness, The β-Lindelöf property.

Abstract

A new form of ?-compactness is introduced in L-topological spaces by means of ?-open L-sets and their inequality where L is a complete de Morgan algebra. This new form doesn’t rely on the structure of basis lattice L. It can also be characterized by means of ?-closed L-sets and their inequality. When L is a completely distributive de Morgan algebra, its many characterizations are presented. Meanwhile countable ?-compactness and the ?-Lindel¨of property are also researched. 

Author Biography

Fu-Gui Shi, Beijing Institute of Technology.

Department of Mathematics.

References

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Published

2017-04-20

How to Cite

[1]
F.-G. Shi, “A new form of fuzzy ?-compactness”, Proyecciones (Antofagasta, On line), vol. 24, no. 2, pp. 105-119, Apr. 2017.

Issue

Section

Artículos