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Characterizations of paracompact-like properties by means of set-valued semi-continuous selections


Author: Kazumi Miyazaki
Journal: Proc. Amer. Math. Soc. 129 (2001), 2777-2782
MSC (2000): Primary 54B20, 54C65
Published electronically: April 24, 2001
MathSciNet review: 1838802
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Abstract:

We give a characterization of countably paracompact and collectionwise normal spaces by means of set-valued semi-continuous selections. This provides a positive answer to a problem of V. Gutev.


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Additional Information

Kazumi Miyazaki
Affiliation: Department of Mathematical Sciences, Faculty of Sciences, Ehime University, Matsuyama 790-8577, Japan
Email: BZQ22206@nifty.ne.jp

DOI: https://doi.org/10.1090/S0002-9939-01-06204-9
Keywords: Hyperspace, selection, semi-continuous
Received by editor(s): May 12, 1999
Received by editor(s) in revised form: December 12, 1999
Published electronically: April 24, 2001
Communicated by: Alan Dow
Article copyright: © Copyright 2001 American Mathematical Society