Hurewicz spaces and the selectively ω*-grouping property

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 Xn 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.