A new form of fuzzy β-compactness

Fu-Gui Shi

Resumen


A new form of β-compactness is introduced in L-topological spaces by means of β-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 β-closed L-sets and their inequality. When L is a completely distributive de Morgan algebra, its many characterizations are presented. Meanwhile countable β-compactness and the β-Lindel¨of property are also researched. 


Palabras clave


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

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Referencias


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DOI: http://dx.doi.org/10.4067/S0716-09172005000200002

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