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Fell continuous selections and topologically well-orderable spaces

Published online by Cambridge University Press:  26 February 2010

V. Gutev  and
T. Nogura
V. Gutev
Affiliation:
School of Mathematical Sciences, Faculty of Science, University of KwaZulu-Natal, King George V Avenue, Durban 4041, South Africa. E-mail: gutev@ukzn.ac.za
T. Nogura
Affiliation:
Department of Mathematics, Faculty of Science, Ehime University, Matsuyama, 790-8577 Japan. E-mail: nogura@dpc.ehime-u.ac.jp
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Abstract

The present paper extends the idea of characterizing topological properties of a space X by means of continuous selections for its closed subsets (X) endowed with a “natural” hyperspace topology. In this particular case, it is proved that the property of X to be topologically well-orderable is equivalent to the existence of a selection for (X) which is continuous with respect to the Fell topology.

Type
Research Article
Information
Mathematika , Volume 51 , Issue 1-2 , December 2004 , pp. 163 - 169
Copyright
Copyright © University College London 2004

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References

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