L—Fuzzy拓扑空间中的弱Lindelǒf性质

Weakly Lindelof's Property in L-Fuzzy Topological Spaces

在L-Fuzzy拓扑空间中引进了弱Lindelǒf性质、ⅡF仿紧性及可数F紧性的概念。证明了弱Lindelǒf性质是闭遗传性、L-好的推广及拓扑不变性,并给出了弱Lindelǒf性质与ⅡF仿紧性及可数F紧性之间的关系。

Concepts of weakly Lindel(?)f's property, Ⅱ F-paracompactness and countable F-compactness in L-fuzzy topological spaces are introduced in this paper. It is proved that weakly Lindel(?)f's property is closedly hereditary, L-good extension and weakly topological invariant, and a relationship between weakly Lindel(?)f's property and Ⅱ F-paracompactness (or countable F-compactness) is given.