A note on “Urysohn separation property in topological molecular lattices”

Abstract

As an extension of Urysohn separation axioms in general topology, several separation property were introduced by Chen and Wu (Urysohn separation property in topological molecular lattices, Fuzzy Sets and Systems 123 (2001) 177–184) in topological molecular lattices. In this note, it is proved that no [ 0 , 1 ] -topological space satisfies Chen–Wu separation axioms.