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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.

##### MSC:
 54A40 Fuzzy topology 54G05 Extremally disconnected spaces, $$F$$-spaces, etc.
Full Text:
##### References:
 [1] M. E. Abd El-Monsef S. N. El-Deeb, R. A. Mahmould: $$\beta$$-open sets and $$\beta$$-continuous mapping. Bull. Fac. Sci. Assiut Univ. (1982). · Zbl 0577.54008 [2] A. A. Aliam, K. M. Abd El-Hakkim: On $$\beta$$-compact spaces. Bull. Calcutta Math. Soc. 81 (1989), 179-182. · Zbl 0676.54029 [3] G. Balasubramanian: On extensions of fuzzy topologies. Kybernetika 28 (1992), 239-244. · Zbl 0795.54011 · www.kybernetika.cz · eudml:27740 [4] A. S. Bin Shahna: On fuzzy strong semicontinuity and fuzzy precontinuity. Fuzzy Sets and Systems 44 (1991), 303-308. · Zbl 0753.54001 · doi:10.1016/0165-0114(91)90013-G [5] A. S. Mashhour M. E. Abd El-Monsef, S. N. El-Deeb: On precontinuous and weak precontinuous mappings. Proc. Phys. Soc. Egypt 15 (1981). · Zbl 0571.54011
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