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The class of co-Namioka compact spaces is stable under product
Author(s):
Ahmed
Bouziad
Journal:
Proc. Amer. Math. Soc.
124
(1996),
983-986.
MSC (1991):
Primary 54C05, 54D30
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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.
References:
- 1.
- A. Bouziad, Notes sur la propriété de Namioka, Trans. Amer. Math. Soc. 344 (1994), 873--883. MR 94m:54032
- 2.
- G. Choquet, Lectures on analysis I, Benjamin, New York, 1969. MR 40:3252
- 3.
- G. Debs, Points de continuité d'une application séparément continue, Proc. Amer. Math. Soc. 97 (1986), 218--228. MR 87c:54014
- 4.
- S. Merkourakis and S. Negrepontis, Banach spaces and topology II, Recent Progress in General Topology (M. Hu\v{s}ek and J. van Mill, eds), Elsevier Sciences Publishers, Amsterdam, 1992, pp. 495--536. CMP 93:15
- 5.
- D. B. Shakmatov, Compact spaces and their generalizations, Recent Progress in General Topology (M. Hu\v{s}ek and J. van Mill, eds.), Elsevier Sciences Publishers, Amsterdam, 1992, pp. 571--640.
- 6.
- J. Saint Raymond, Jeux topologiques et espaces de Namioka, Proc. Amer. Math. Soc. 87 (1983), 499--504 MR 83m:54060
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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:
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
Copyright of article:
Copyright
1996,
American Mathematical Society
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