L-拓扑空间的半N_β-紧性

Semi-N_β-compactness in L-topological Spaces

在L-拓扑空间中利用半开βa-覆盖引入了半Nβ-紧性。讨论了半Nβ-紧性的性质,如一个半Nβ-紧集与一个半闭集的交仍为半Nβ-紧的;半Nβ-紧性在不定映射下保持不变;由分明拓扑空间(X,τ)拓扑生成的L-拓扑空间(LX,ωL(τ))是半Nβ-紧的当且仅当(X,τ)是半紧的。此外,还讨论半Nβ-紧性与半紧性的关系。

In this paper,the notion of semi-Nβ-compactness is introduced in L-topological spaces by means of the semiopen βa-cover.Some properties of the semi-Nβ-compactness is investigated,it is found that： the intersection of a semi-Nβ-compact set and a semiclosed set is still semi-Nβ-compact;the semi-Nβ-compactness is preserved under irresolute mapping;the L-fuzzy topological space（LX,ωL（τ）） generating by（X,τ） is semiNβ-compact if and only if（X,τ） is semi-compact.Finally,it is proved that semi-Nβ-compactness implies semi-ompactness.