Semicompactness in L -topological spaces

Fu-Gui Shi

International Journal of Mathematics and Mathematical Sciences, 2005, vol. 2005, 1-10

Abstract:

The concepts of semicompactness, countable semicompactness, and the semi-Lindelöf property are introduced in L -topological spaces, where L is a complete de Morgan algebra. They are defined by means of semiopen L -sets and their inequalities. They do not rely on the structure of basis lattice L and no distributivity in L is required. They can also be characterized by semiclosed L -sets and their inequalities. When L is a completely distributive de Morgan algebra, their many characterizations are presented.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:730379

DOI: 10.1155/IJMMS.2005.1869

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