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Sobriety and Semi-Sobriety of L-Topological Spaces
Wesley Kotzé
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
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
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Quaestiones Mathematicae. ISSN: 1607-3606