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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.

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Authors and Affiliations

  1. Department of Mathematics, Taizhou University, Taizhou, 225300, Jiangsu, China

    Rongxin Shen

  2. Department of Mathematics and Statistics, University of Helsinki, Helsinki, FI-00014, Finland

    Heikki J. K. Junnila

Authors
  1. Rongxin Shen
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  2. Heikki J. K. Junnila
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Corresponding author

Correspondence to Rongxin Shen.

Additional information

This work was 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) and Taizhou University Research Funds (No. TZXY2013JBJJ003).

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Shen, R., Junnila, H.J.K. On s-reflexive spaces and continuous selections. Chin. Ann. Math. Ser. B 36, 181–194 (2015). https://doi.org/10.1007/s11401-015-0889-5

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  • DOI: https://doi.org/10.1007/s11401-015-0889-5

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