期刊文献+

On s-Reflexive Spaces and Continuous Selections

On s-Reflexive Spaces and Continuous Selections
原文传递
导出
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.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 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)
关键词 s-Reflexive Continuous selection ZERO-DIMENSIONAL Retractifiable 自反空间 连续选择 豪斯多夫
  • 相关文献

参考文献21

  • 1Balogh Z. and Rudin, M. E., Monotone normality, Topology Appl., 47, 1992, 115-127. 被引量:1
  • 2Boone, J. R., On irreducible spaces, Bull. Austral. Math. Soc., 12, 1975, 143-148. 被引量:1
  • 3van Douwen, E. K., Simultaneous Extension of Continuous Functions, Doctoral Thesis, Free University Amsterdam, 1975. 被引量:1
  • 4Engelking, R., Cartesian products and dyadic spaces, Fund. Math., 57, 1965, 287-304. 被引量:1
  • 5Engelking, R., General Topology, Polish Scientific Publishers, Warszawa, 1977. 被引量:1
  • 6Gutev, V., Private communication, Sept. 2013. 被引量:1
  • 7Gutev, V., Nedev, S., Pelant, J. and Valov, V., Cantor set selectors, Topology Appl., 44, 1992, 163-166. 被引量:1
  • 8Halmos, P. R., Reflexive lattices of subspaces, J. London Math. Soc., 4, 1971, 257-263. 被引量:1
  • 9Hausdorff, F., Summen von R1 Mengen, Fund. Math., 26, 1936, 241-255 (English translation in: J. M. Plotkin (ed.), Hausdorff on Ordered Sets, History of Math., 25, Amer. Math. Soc. and London Math. Soc., 2005). 被引量:1
  • 10Heath, R. W., Lutzer, D. J. and Zenor, P. L., Monotonically normal spaces, Trans. Amer. Math. Soc., 178, 1973, 481-493. 被引量:1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部