Geodesic
P-COMPACTNESS IN $L$ -TOPOLOGICAL SPACES
SHI, FU-GUI1
1 Fu-Gui Shi, Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China
Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 4, p. 225-233.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The concepts of P-compactness, countable P-compactness, the P-Lindelöf property are introduced in $L$-topological spaces by means of preopen $L$ -sets and their inequalities when $L$ is a complete DeMorgan algebra. These definitions do not rely on the structure of the basis lattice $L$ and no distributivity in $L$ is required. They can also be characterized by means of preclosed L-sets and their inequalities. Their properties are researched. Further when $L$ is a completely distributive DeMorgan algebra, their many characterizations are presented.
DOI : 10.22436/jnsa.002.04.04
Classification : 03E72, 54A40, 54D30
Keywords: L-topology, fuzzy compactness, P-compactness, countable P-compactness, PLindelöf property.

SHI, FU-GUI 1

1 Fu-Gui Shi, Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China 
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SHI, FU-GUI. P-COMPACTNESS IN \(L\) -TOPOLOGICAL SPACES. Journal of nonlinear sciences and its applications, Tome 2 (2009) no. 4, p. 225-233. doi : 10.22436/jnsa.002.04.04. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.002.04.04/

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