Hurewicz spaces and the selectively ω~*-grouping property

摘要

Definitions are presented for two covering properties in an L-topological space: Hurewicz property and selectively ω~*-grouping property. The main theorem gives conditions for a space X~n to be Hurewicz by means of selectively ω~*-grouping property. We prove that the fuzzy unit interval has the selectively ω~*-grouping property. We also present L-versions for some results about product of compact spaces.