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A NOTE ON CONTINUOUSLY URYSOHN SPACES

Part of: Maps and general types of spaces defined by maps Fairly general properties Special properties

Published online by Cambridge University Press:  02 July 2009

JIAN-SHENG CHEN  and
WEI-XUE SHI
JIAN-SHENG CHEN*
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, People’s Republic of China (email: tuopmath@nju.edu.cn)
WEI-XUE SHI
Affiliation:
Department of Mathematics, Nanjing University, Nanjing 210093, People’s Republic of China (email: wxshi@nju.edu.cn)
*
✉For correspondence; e-mail: tuopmath@nju.edu.cn
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Abstract

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In this paper, we generalize a result of Bennett and Lutzer and give a condition under which a continuously Urysohn space must have a one-parameter continuous separating family.

Keywords

continuously Urysohn spacescontinuous separating familyone-parameter continuous separating family

MSC classification

Secondary: 54F65: Topological characterizations of particular spaces 54C30: Real-valued functions 54D65: Separability
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 80 , Issue 3 , December 2009 , pp. 472 - 475
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2009

Footnotes

This work was supported by the NSF of China as project no. 10571081

References

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