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集值映射空间在紧开拓扑下的N性质

李祖泉

数学杂志2011,Vol.31Issue(6):973-978,6.
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

李祖泉1

作者信息

  • 1. 杭州师范大学数学系,浙江杭州 310036
  • 折叠

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)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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