集值映射空间在紧开拓扑下的N性质(英文)  

ON N-PROPERTY OF MULTIFUNCTION SPACES WITH COMPACT-OPEN TOPOLOGY

作　　者：李祖泉[1] 

机构地区：[1]杭州师范大学数学系,浙江杭州310036

出　　处：《数学杂志》2011年第6期973-978,共6页Journal of Mathematics

基　　金：Supported by Science and Research Foundation of Hangzhou Normal University (02010180)

摘　　要：本文研究了点紧连续集值映射族在紧开拓扑下的N性质.利用cs-σ网方法获得了如下结果:若X是N0空间,Y是N空间,则C_k(X,Y)是N空间.该结论将J.A.Guthrie关于单值连续映射空间的结论推广到了集值映射空间上,并且改进了相关结论.This paper discusses the property of point-compact continuous multifunction spaces with compact-open topology. By using a cs-σ-network, it obtains that if X is an 0-space, Y is an -space, then the point-compact continuous multifunction space with compact-open topology is an -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 

分 类 号：O189.1[理学—数学]