Geodesic
A new form of fuzzy $\alpha $-compactness
Mathematica Bohemica, Tome 131 (2006) no. 1, pp. 15-28.

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A new form of $\alpha $-compactness is introduced in $L$-topological spaces by $\alpha $-open $L$-sets and their inequality where $L$ is a complete de Morgan algebra. It doesn’t rely on the structure of the basis lattice $L$. It can also be characterized by means of $\alpha $-closed $L$-sets and their inequality. When $L$ is a completely distributive de Morgan algebra, its many characterizations are presented and the relations between it and the other types of compactness are discussed. Countable $\alpha $-compactness and the $\alpha $-Lindelöf property are also researched.
DOI : 10.21136/MB.2006.134081
Classification : 54A40, 54D35
Keywords: $L$-topology; compactness; $\alpha $-compactness; countable $\alpha $-compactness; $\alpha $-Lindelöf property; $\alpha $-irresolute map; $\alpha $-continuous map 
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Shi, Fu-Gui. A new form of fuzzy $\alpha $-compactness. Mathematica Bohemica, Tome 131 (2006) no. 1, pp. 15-28. doi : 10.21136/MB.2006.134081. http://geodesic.mathdoc.fr/articles/10.21136/MB.2006.134081/

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