A new form of fuzzy ?-compactness
DOI:
https://doi.org/10.4067/S0716-09172005000200002Keywords:
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.
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