Maximal fuzzy topologies. (English) Zbl 0856.54004

Summary: We introduce and study maximal fuzzy \(P\)-spaces where \(P\) is fuzzy Lindelöf, fuzzy countably compact, fuzzy compact, fuzzy lightly compact or fuzzy strongly compact. Characterizations are given for maximal fuzzy \(P\)-spaces where \(P\) is fuzzy Lindelöf, fuzzy countably compact, fuzzy compact, or fuzzy strongly compact. A necessary condition is given for maximal fuzzy lightly compact spaces and fuzzy connected spaces.


54A40 Fuzzy topology
54A10 Several topologies on one set (change of topology, comparison of topologies, lattices of topologies)
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