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Characterizations of paracompact-like properties by means of set-valued semi-continuous selections
Author(s):
Kazumi
Miyazaki
Journal:
Proc. Amer. Math. Soc.
129
(2001),
2777-2782.
MSC (2000):
Primary 54B20, 54C65
Posted:
April 24, 2001
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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.
References:
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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:
10.1090/S0002-9939-01-06204-9
PII:
S 0002-9939(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
Posted:
April 24, 2001
Communicated by:
Alan Dow
Copyright of article:
Copyright
2001,
American Mathematical Society
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