On s-reflexive spaces and continuous selections

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• 作者：Rongxin Shen (1)
  Heikki J. K. Junnila (2)
  
  1. Department of Mathematics ; Taizhou University ; Taizhou ; 225300 ; Jiangsu ; China
  2. Department of Mathematics and Statistics ; University of Helsinki ; Helsinki ; FI-00014 ; Finland
  
• 关键词：s ; Reflexive ; Continuous selection ; Zero ; Dimensional ; Retractifiable ; 54C60 ; 54C65 ; 54E35 ; 54H05
• 刊名：Chinese Annals of Mathematics - Series B
• 出版年：2015
• 出版时间：March 2015
• 年：2015
• 卷：36
• 期：2
• 页码：181-194
• 全文大小：219 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Applications of Mathematics
  Chinese Library of Science
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1860-6261

文摘

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.