Regular L-fuzzy topological spaces and their topologicalmodifications

International Journal of Mathematics and Mathematical Sciences

卷:23

M. A. de Prada Vicente¹  T. Kubiak² 

[1] Departamento de Matemáticas, Universidad del País Vasco - Euskal Herriko Unibertsitatea, Apdo. 644, Bilbao 48080, Spain;

[2] Wydzial Matematyki i Informatyki, Uniwersytet im. Adama Mickiewicza, Matejki, 48/49, Poznań 60–769, Poland;

关键词: Fuzzy topology;    regularity;    the functors ι;    L andω;    LH.;   

DOI  :  10.1155/S0161171200002507

来源: DOAJ

【 摘 要 】

For L a continuous lattice with its Scott topology, the functorιL makes every regular L-topological space into a regularspace and so does the functor ωL the other way around. Thishas previously been known to hold in the restrictive class of theso-called weakly induced spaces. The concepts ofH-Lindelöfness (á la Hutton compactness) is introducedand characterized in terms of certain filters. RegularH-Lindelöf spaces are shown to be normal.

【 授权许可】

Unknown