On s-Reflexive Spaces and Continuous Selections  

作　　者：Rongxin SHEN Heikki J K JUNNILA 

机构地区：[1]Department of Mathematics, Taizhou University [2]Department of Mathematics and Statistics,University of Helsinki

出　　处：《Chinese Annals of Mathematics,Series B》2015年第2期181-194,共14页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.11201414,11226085,11301367);the Natural Science Foundation of Jiangsu Province(No.BK20140583);Jiangsu Planned Projects for Teachers Overseas Research Funds,Jiangsu Qing Lan Project,Jiangsu 333 Project(No.BRA2013140);Taizhou University Research Funds(No.TZXY2013JBJJ003)

摘　　要：This paper deals with the s-reflexive spaces introduced by Yang and Zhao. The authors prove that every s-reflexive Hausdorff space is zero-dimensional, and indicate a close relationship between the theory of s-reflexive spaces and that of continuous selections.Several examples relating to s-reflexivity are given.

关 键 词：s-Reflexive Continuous selection ZERO-DIMENSIONAL Retractifiable 

分 类 号：O177[理学—数学]