摘要
本文给出了LF集的超紧性的网式、滤子式等几种刻划,剖析了超紧集的层次结构,得出了在导出分明拓扑满足T_2分离性的前提下子集的超紧性与其任—α—集的紧性等价等一系列结果。
This paper gives some characterizations of ultra-fuzzy compactness of LF sets by fuzzy nets, fuzzy filters and other means; analyses th
egradation structure of ultra-fuzzy compact sets; obtains a series of results among which the statement that if the induced general topological space of a LF topological space is a Hausdorff space, then the ultra-fuzzy compactness
of LF sets is equivalant to the compactness of its α-cut sets is discussed.
出处
《郧阳师范高等专科学校学报》
1995年第2期40-44,23,共6页
Journal of Yunyang Teachers College
关键词
相关远域族
超紧集
弱诱导空间
Relative R-neighborhood family, Ultra-fuzzy compact sets, Weakly induced space
