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Continuous selections and  -spaces
Author(s):
Valentin
Gutev;
Vesko
Valov
Journal:
Proc. Amer. Math. Soc.
130
(2002),
233-242.
MSC (2000):
Primary 54C60, 54C65, 55M10
Posted:
May 22, 2001
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Abstract:
A characterization of paracompact  -spaces via continuous selections avoiding  -sets is given. The result is applied to prove a countable sum theorem for paracompact  -spaces, and to obtain a new partial solution of a question raised by E. Michael.
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Additional Information:
Valentin
Gutev
Affiliation:
School of Mathematical and Statistical Sciences, Faculty of Science, University of Natal, King George V Avenue, Durban 4041, South Africa
Email:
gutev@nu.ac.za
Vesko
Valov
Affiliation:
Department of Mathematics, Nipissing University, 100 College Drive, P. O. Box 5002, North Bay, Ontario, Canada P1B 8L7
Email:
veskov@unipissing.ca
DOI:
10.1090/S0002-9939-01-05995-0
PII:
S 0002-9939(01)05995-0
Keywords:
Continuous selection,
$C$-space,
$Z_\infty$-set
Received by editor(s):
November 17, 1999
Received by editor(s) in revised form:
May 9, 2000
Posted:
May 22, 2001
Communicated by:
Alan Dow
Copyright of article:
Copyright
2001,
American Mathematical Society
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