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On fuzzy \(\beta\)-compact spaces and fuzzy \(\beta\)-extremally disconnected spaces. (English) Zbl 0932.54008
Summary: The concept of fuzzy \(\beta\)-open set is introduced. Using fuzzy \(\beta\)-open sets the concepts of fuzzy \(\beta\)-compact spaces and fuzzy \(\beta\)-extremally disconnected spaces are introduced and some interesting properties of these spaces are investigated.

54A40 Fuzzy topology
54G05 Extremally disconnected spaces, \(F\)-spaces, etc.
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