Wei Yao - Department of Mathematics, Hebei University of Science and Technology, Shijiazhuang ۰۵۰۰۱۸, P.R. China

In this paper, the denition of net-theoretical L-generalized convergencespaces is proposed. It is shown that, for L a frame, the category ofenriched L-fuzzy topological spaces can be embedded in that of L-generalizedconvergence spaces as a reective subcategory and the latter is a cartesianclosedtopological category.

Net, (Net-theoretical) L-generalized convergence space, (Enriched) L-fuzzy topological space, Cartesian-closed category