Urysohn separation property in topological molecular lattices

The theory of topological molecular lattices, which is a generalization of the theories of point set topology, fuzzy topology and L-fuzzy topology, is established by Wang. In this paper, the concepts of some kinds of Urysohn separation axioms in topological molecular lattices are introduced and syst ematically discussed. Several important results, such as the U-i (i = - 1, 0, 1, 2, 3, 4), Urysohn regular and Urysohn normal separation properties ar e both hereditary and topological invariant, etc., are given. (C) 2001 Else vier Science BN. All rights reserved.