区间值度量空间的紧性和仿紧性  

On compactness and paracompactness in interval-valued metric spaces

作　　者：陈桂秀[1,2] 李生刚[1] 赵虎[1] 

机构地区：[1]陕西师范大学数学与信息科学学院,西安710062 [2]青海师范大学数学系,西宁810008

出　　处：《计算机工程与应用》2013年第23期45-47,270,共4页Computer Engineering and Applications

基　　金：国家自然科学基金(No.11071151);陕西省自然科学基金(No.2010JM1005)

摘　　要：给出了区间值度量空间的概念,根据一般拓扑学中紧性的相关定义及其等价条件,证明了由区间值度量诱导的拓扑具有的紧性及其一系列等价关系,讨论了该诱导的拓扑空间具有仿紧性。The definition of interval-valued metric spaces is introduced, according to the definition of compactness and their related equivalent relations in general topological spaces, the compacmess and a set of equivalent relations of induced topological space by interval-valued metric are proved, the paracompactness of this induced topological space is discussed in the paper.

关 键 词：区间数 区间值度量空间 紧性 仿紧性 

分 类 号：O189[理学—数学]