超紧集的刻划与层次结构  

THE CHARACTERIZATION AND GRADATION STRUCTURE OF ULTRA-FUZZY COMPACT SETS

作　　者：周武能 孟培源[1] 

机构地区：[1]荆州师范高等专科学校,咸宁师范高等专科学校

出　　处：《数学杂志》1996年第2期204-208,共5页Journal of Mathematics

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Ｔ２分离性的前提下子集的超紧性与其任一α－截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 meansl analyses the gradation structure of ultra-fuzzy compact sets obtains a series of results among which the statement that if the indeuced general topological space of a LF topological space is a Hausdorff space, then the ultrafuzzy compactness of LF sets is equvalant to the compactness of its α-cut sets is discussed.

关 键 词：超紧集 弱诱导空间 层次结构 LF拓扑空间 

分 类 号：O189.1[理学—数学]