L-fuzzy拓扑空间中的可数强F紧性(Ⅰ)

Countable Strong F-Compactness in L-fuzzy Topological Spaces

本文在L-fuzzy拓扑空间中引进了可数强F紧性，证明了可数强F紧性是“L-好的推广”、对闭子集遗传以及是F完备映射的逆不变量，给出了可数强F紧空间的等价刻划，讨论了它的一些特征性质．

In this paper,the concept of countably strong F-compactness in L-fuzzy topological spaces is introduced. It is proved that countably strong F-compactness is 'L-good extension',closed hereditary and is an inverse invarlant of L-fuzzy perfect mappings. An eguivalent characterization of countably strongly F-compact spaces is established. Some characteristic properties are discussed.