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| On s-Reflexive Spaces and Continuous Selections |
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Citation： |
Rongxin SHEN,Heikki J K JUNNILA.On s-Reflexive Spaces and Continuous Selections[J].Chinese Annals of Mathematics B,2015,36(2):181~194 |
| Page view： 2294
Net amount： 1826 |
Authors： |
Rongxin SHEN; Heikki J K JUNNILA; |
Foundation： |
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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| 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 |
Classification： |
54C60, 54C65, 54E35, 54H05 |
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