P-COMPACTNESS IN $L$ -TOPOLOGICAL SPACES

Volume 2, Issue 4, pp 225-233
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Authors

FU-GUI SHI - Fu-Gui Shi, Department of Mathematics, Beijing Institute of Technology, Beijing 100081, P.R. China.

Abstract

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.

Keywords

• L-topology
• fuzzy compactness
• P-compactness
• countable P-compactness
• PLindelöf property.

•  03E72
•  54A40
•  54D30

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