P-COMPACTNESS IN \(L\) -TOPOLOGICAL SPACES
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2011
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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.
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ISRP Style
FU-GUI SHI, P-COMPACTNESS IN \(L\) -TOPOLOGICAL SPACES , Journal of Nonlinear Sciences and Applications, 2 (2009), no. 4, 225-233
AMA Style
SHI FU-GUI, P-COMPACTNESS IN \(L\) -TOPOLOGICAL SPACES . J. Nonlinear Sci. Appl. (2009); 2(4):225-233
Chicago/Turabian Style
SHI, FU-GUI. " P-COMPACTNESS IN \(L\) -TOPOLOGICAL SPACES ." Journal of Nonlinear Sciences and Applications, 2, no. 4 (2009): 225-233
Keywords
- L-topology
- fuzzy compactness
- P-compactness
- countable P-compactness
- PLindelöf property.
MSC
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