Sobriety and Semi-Sobriety of L-Topological Spaces

Abstract

This is a sequel to a paper "Fuzzy sobriety and fuzzy Hausdorff" which
appeared in this journal vol. 20, 1997. The relationships between sobriety
and fuzzy Hausdorff concepts are more subtle than was envisaged there and a
concept of semi-sobriety is appropriate.
Mathematics Subject Classification (2000): 54A40, 54D15
Keywords: L-Topological space, separation axioms, sobriety, fuzzy topology,
higher separation axioms, semi-sobriety, Hausdorff properties

Quaestiones Mathematicaes 24 (4) 2001, 555–564