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THE EXTENSION DIMENSION AND $C$-SPACES

Published online by Cambridge University Press:  24 March 2003

ALEX CHIGOGIDZE  and
VESKO VALOV
ALEX CHIGOGIDZE
Affiliation:
Department of Mathematics and Statistics, University of Saskatchewan, McLean Hall, 106 Wiggins Road, Saskatoon SK, S7N 5E6, Canadachigogid@math.usask.ca
VESKO VALOV
Affiliation:
Department of Mathematics, Nipissing University, 100 College Drive, P.O. Box 5200, North Bay ON, P1B 8L7, Canadaveskov@unipissing.ca
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Abstract

Some generalizations of the classical Hurewicz formula are obtained for the extension dimension and $C$ -spaces. A characterization is also given of the class of metrizable spaces that are absolute neighborhood extensors for all metrizable $C$ -spaces.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 6 , November 2002 , pp. 708 - 716
Copyright
© The London Mathematical Society 2002

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Footnotes

The first author was partially supported by an NSERC grant. The second author was partially supported by a Nipissing University Research Council Grant.