孟培源,周武能.L—fuzzy拓扑空间若干紧性概念的等价性[J].数学研究及应用,1992,12(4):513~518
L—fuzzy拓扑空间若干紧性概念的等价性
On the Equivalece of Some Compactness Notions in L-fuzzy Topological Spaces
投稿时间:1990-12-17  
DOI:10.3770/j.issn:1000-341X.1992.04.008
中文关键词:  
英文关键词:
基金项目:
作者单位
孟培源 湖北咸宁师专 
周武能 湖北郧阳师专 
摘要点击次数: 1883
全文下载次数: 839
中文摘要:
      
英文摘要:
      In this paper, the equivalent of ultra-fuzzy compactness, N-compactness, strong fuzzy compactness and fuzzy compactness in weakly induced spaces and (strong) Hausdirff spaces are discussed. A counterexample was given in which we defined an L-fuzzy topological space which is fully stratified, Hausdorff and JV-compact but neither strong Hausdorff nor ultra-fuzzy compact, hence solves two open problems. Finally some conditions are given for a Hausdorff N-compact space to be an ultra-fuzzy compact space.
查看全文  查看/发表评论  下载PDF阅读器