L-Fuzzy拓扑空间中的一些基数不等式  

Some Cardinal Inequalities of L-Fuzzy Topological Space

作　　者：赵彬 

机构地区：[1]陕西师大数学系

出　　处：《陕西师大学报（自然科学版）》1990年第1期7-10,共4页Journal of Shaanxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金

摘　　要：本文在一般 L-Fuzzy 拓扑空间中引入了网权、点分离权、Lindelf 度、紧度、闭离散度等基数函数.讨论了一些基数函数与遗传基数函数之间的关系.证明了遗传浓度不超过闭遗传浓度与紧度的乘积,开遗传 Lindelf 度与闭遗传浓度均不超过网权.在 T_2空间中,利用特征与 LF 集的势,给出了任意 LF 集的闭包的势的上界.在一定条件下,得到了浓度、点分离权及闭离散度之间的一个基数不等式.In this paper,the cardinal functions on L-Fuzzy topological space,such as netweight,point separating weight,Lindelǒf degree,tight,extent,etc.are in- troduced.The relationship between cardinal function and hereditary cardinal fun- ction is discussed.The author proves that the hereditary density is smaller than the product of close hereditary density and tightness,the maximum of open hereditary Lindelǒf degree and close hereditary density is smaller than netweight. The upper bound of cardinality of closure of a L-Fuzzy set on T_2 space is given. On certain conditions,a cardinal inequality among density、point separating weight、extent is obtained.

关 键 词：L-FTS 基数不等式 基数函数 

分 类 号：O159[理学—数学]