On s-reflexive spaces and continuous selections

Rongxin Shen , Heikki J. K. Junnila

Chinese Annals of Mathematics, Series B ›› 2015, Vol. 36 ›› Issue (2) : 181 -194.

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Chinese Annals of Mathematics, Series B ›› 2015, Vol. 36 ›› Issue (2) : 181 -194. DOI: 10.1007/s11401-015-0889-5
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On s-reflexive spaces and continuous selections

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Abstract

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.

Keywords

s-Reflexive / Continuous selection / Zero-Dimensional / Retractifiable

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Rongxin Shen, Heikki J. K. Junnila. On s-reflexive spaces and continuous selections. Chinese Annals of Mathematics, Series B, 2015, 36(2): 181-194 DOI:10.1007/s11401-015-0889-5

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