点闭连续集值映射空间的分离性  

The separabilities of point-closed continuous multifunction spaces

作　　者：杨丽华[1] 张红[1] 

机构地区：[1]杭州师范大学数学系

出　　处：《黑龙江大学自然科学学报》2009年第4期474-476,481,共4页Journal of Natural Science of Heilongjiang University

基　　金：浙江省自然科学基金资助项目(Y605191)

摘　　要：讨论点闭连续集值映射空间在赋予Γ-开拓扑下的分离性,研究点闭连续集值映射空间的分离性和象空间的分离性的内在联系。同时,将单值连续映射空间的分离性与点紧连续集值映射空间,在紧开拓扑下的分离性推广到点闭连续集值映射空间上。The separabilities of the point - closed continuous muhifunction spaces with Г - open topology are discussed and the internal relations between the separabilities of the point - closed continuous muhifunction spaces and the separabilities of image spaces are obtained. The separabilities of single -valued continuous function spaces and the separabilities of the point - compact the point - compact continuous muhifunction spaces are extended to the separabilities of the point - closed continuous multifunction spaces under compact - open topology.

关 键 词：点闭集值映射 分离性 Г-开拓扑 K-网 

分 类 号：O189.1[理学—数学]