Regular L -fuzzy topological spaces and their topological modifications
T. Kubiak and
M. A. de Prada Vicente
International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-9
Abstract:
For L a continuous lattice with its Scott topology, the functor ι L makes every regular L -topological space into a regular space and so does the functor ω L the other way around. This has previously been known to hold in the restrictive class of the so-called weakly induced spaces. The concepts of H -Lindelöfness (á la Hutton compactness) is introduced and characterized in terms of certain filters. Regular H -Lindelöf spaces are shown to be normal.
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:431050
DOI: 10.1155/S0161171200002507
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