数学杂志2011,Vol.31Issue(6):973-978,6.
集值映射空间在紧开拓扑下的N性质
ON N-PROPERTY OF MULTIFUNCTION SPACES WITH COMPACT-OPEN TOPOLOGY
摘要
Abstract
This paper discusses the (N) property of point-compact continuous multifunction spaces with compact-open topology.By using a cs-σ-network,it obtains that if X is an (N)0-space,Y is an (N)-space,then the point-compact continuous multifunction space with compact-open topology is an (N)-space.This generalizes J.A.Guthrie's results to wider topological space,and improves relevant conclusions.关键词
集值映射/紧开拓扑/σ局部有限cs网/cs-σ空间/(N)空间Key words
multifunction/compact-open topology/σ-locally finite cs-network/cs-σ spaces/(N)-space分类
数理科学引用本文复制引用
李祖泉..集值映射空间在紧开拓扑下的N性质[J].数学杂志,2011,31(6):973-978,6.基金项目
Supported by Science and Research Foundation of Hangzhou Normal Unlversity (02010180). (02010180)