International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 10, Pages 687-695
doi:10.1155/S0161171200002507
Regular L-fuzzy topological spaces and their topological modifications
T. Kubiak1
and M.A. de Prada Vicente2
1Wydzial Matematyki i Informatyki, Uniwersytet im. Adama Mickiewicza, Matejki, 48/49, Poznań 60-769, Poland
2Departamento de Matemáticas, Universidad del País Vasco - Euskal Herriko Unibertsitatea, Apdo. 644, Bilbao 48080, Spain
Abstract
For L a continuous lattice with its Scott topology, the functor ιL makes every regular L-topological space into a regular space and so does the functor ωL 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.