Strong ω-Compactness in Lω-Spaces
In this paper, the notion of strong ω-compactness is introduced in Lω-spaces by means of open β a -ω-cover and strong open β a -ω-cover. It is proved that the intersection of a strongly ω-compact L-set and a ω-closed set is strongly ω-compact, that strong ω-compactness is preserved by continuously generalized Zadeh funtions. Under the condition that β(a ∧ b) = β(a) ∩ β(b), for any a,b ∈ L, the Tychonoff Theorem for strong ω-compactness is true.
KeywordsLω-spaces open βa-ω-cover strong open βa-ω-cover strong ω-compactness
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