A new form of fuzzy β-compactness

  • Fu-Gui Shi Beijing Institute of Technology.
Palabras clave: L-topology, Compactness, β-compactness, Countable β-compactness, The β-Lindelöf property.


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. 

Biografía del autor/a

Fu-Gui Shi, Beijing Institute of Technology.
Department of Mathematics.


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Cómo citar
Shi, F.-G. (2017). A new form of fuzzy β-compactness. Proyecciones. Revista De Matemática, 24(2), 105-119. https://doi.org/10.4067/S0716-09172005000200002