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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The class of co-Namioka compact spaces
is stable under product


Author: Ahmed Bouziad
Journal: Proc. Amer. Math. Soc. 124 (1996), 983-986
MSC (1991): Primary 54C05, 54D30
MathSciNet review: 1326999
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Abstract: In an earlier paper we have established that the cartesian product of a family of co-Namioka compact spaces is co-Namioka if and only if all finite cartesian products of this family are co-Namioka. The purpose of this note is to show that the product of two co-Namioka compact spaces is always co-Namioka. The class of co-Namioka compact spaces is consequently stable under arbitrary products.


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Additional Information

Ahmed Bouziad
Affiliation: Université de Rouen, U. F. R. des Sciences, URA C. N. R. S. D 1378, 76821 Mont Saint Aignan cedex, France
Email: ahmed.bouziad@univ-rouen.fr

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03330-8
PII: S 0002-9939(96)03330-8
Keywords: Namioka's property, separate continuity, continuity
Received by editor(s): April 22, 1994
Received by editor(s) in revised form: October 1, 1994
Communicated by: Franklin D. Tall
Article copyright: © Copyright 1996 American Mathematical Society