L－fuzzy拓扑空间中的近似良紧性  

THE NEARLY NICE COMPACTNESS IN L-FUZZY TOPOLOGICAL SPACES

作　　者：陈水利[1] 

机构地区：[1]湖北江汉石油学院

出　　处：《数学杂志》1996年第1期67-71,共5页Journal of Mathematics

基　　金：国家自然科学基金

摘　　要：本文系统地研究了Ｌ－ｆｕｚｚｙ拓扑空间中近似良紧性的特征及其拓补性质。讨论了近似良紧性与良紧性之间的关系。证明了近似良紧性是正则闭遗传的，有限可和的以及在满层的Ｌ—ｆｕｚｚｙ拓扑空间中，对于近似良紧性而言，ＸＯＨＯＢ乘积定理成立等重要性质。In this paper,the characterizations and the topological properties of the nearly nice compactness in L-fuzzy topological spaces are systematically studied.The relationships between the nearly nice compactness and the nice compactness are discussed. That the nearly nice compactness is hereditary for the L-fuzzy regular closed subset and finitely additive,and that TXOHOB Product Theorem holds with respect to the nearly nice compactness in full stratified L-fuzzy topological spaces and so on are proved.

关 键 词：良紧性 近似良紧性 LF拓扑空间 

分 类 号：O189.11[理学—数学] O159[理学—基础数学]