International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 10, Pages 687-695

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

Copyright © 2000 T. Kubiak and M. A. de Prada Vicente. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.