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Transactions of the American Mathematical Society

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Notes sur la propriété de Namioka


Author: Ahmed Bouziad
Journal: Trans. Amer. Math. Soc. 344 (1994), 873-883
MSC: Primary 54C08; Secondary 54C35
MathSciNet review: 1240943
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Abstract: We show that the class of co-Namioka compacts is stable under the arbitrary product if and only if it is stable under the finished product. We also prove that if X is a Valdivia compact space, then for every co-Namioka compact Y the product $ X \times Y$ is co-Namioka. Several examples of co-Namioka compacts are given.


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DOI: https://doi.org/10.1090/S0002-9947-1994-1240943-4
Keywords: Continuity, separate continuity, Namioka's property
Article copyright: © Copyright 1994 American Mathematical Society