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Balasubramanian, Ganesan

Maximal fuzzy topologies. (English) Zbl 0856.54004

Kybernetika 31, No. 5, 459-464 (1995).
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.

Cited in 2 Documents

MSC:

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

Keywords:

maximal fuzzy \(P\)-spaces
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\textit{G. Balasubramanian}, Kybernetika 31, No. 5, 459--464 (1995; Zbl 0856.54004)
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