P-compactness in L-topological Spaces
نویسنده
چکیده
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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