A note on Hausdorff separation in \(L\)-TOP

DOI10.1016/J.FSS.2008.02.002zbMath1177.54001OpenAlexW2049267053MaRDI QIDQ835245

Ulrich Höhle, Tomasz Kubiak

Publication date: 28 August 2009

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2008.02.002

zbMATH Keywords

regularitycontinuous latticeHausdorff axiomiota-functormany valued topologyomega-functor

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Logical aspects of lattices and related structures (03G10) Fuzzy topology (54A40) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (4)

Weak Hausdorff separation axiom in \(I\)-fuzzy topological spaces and its application ⋮ On \(L\)-Tychonoff spaces. II ⋮ Regularity and normality of \((L,M)\)-fuzzy topological spaces ⋮ Preserving continuity by Zadeh extension and invariance of separation axioms under surjections

Cites Work

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• A comparison of some Hausdorff notions in fuzzy topological spaces
• The Hausdorff separation axiom for fuzzy topological spaces
• Separation axioms in \(L\)-fuzzy topological spaces. I: \(T_0\) and \(T_1\)
• On \(L\)-Tychonoff spaces
• A new approach to \(L-T_{2}\), \(L\)-Urysohn, and \(L\)-completely Hausdorff axioms
• Separation axioms in fuzzy topological spaces

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