A note on Hausdorff separation in L-TOP

This note shows that a careful study of the history of Hausdorff-type separation axioms in many valued topology is necessary. We make a few observations regarding a Hausdorff-type axiom for L-topological spaces reinvented recently by Shi. In particular, we put it into the adjoint situation associated with the functors ωL and ιL with L a continuous lattice.