Department of Mathematics, Beijing Institute of Technology, 100081 Beijing, P.R. China


Based on a complete Heyting algebra L, the relations between Lfuzzifying
convergence spaces and L-fuzzifying topological spaces are studied.
It is shown that, as a reflective subcategory, the category of L-fuzzifying topological
spaces could be embedded in the category of L-fuzzifying convergence
spaces and the latter is cartesian closed. Also the specialization L-preorder
of L-fuzzifying convergence spaces and that of L-fuzzifying topological spaces
are investigated.


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