标题：Regular <mml:math alttext="$L$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>L</mml:mi></mml:math>-fuzzy topological spaces and their topological modifications
期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2000
卷号：23
DOI：10.1155/S0161171200002507
出版社：Hindawi Publishing Corporation
摘要：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.
