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.
出处
《黑龙江大学自然科学学报》
CAS
北大核心
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)
关键词
点闭集值映射
分离性
Г-开拓扑
K-网
point - closed continuous multifunction
separability
Г - open topology
k - netword
