The Hewitt realcompactification of products
Author:
Haruto Ohta
Journal:
Trans. Amer. Math. Soc. 263 (1981), 363-375
MSC:
Primary 54D60; Secondary 54B10
DOI:
https://doi.org/10.1090/S0002-9947-1981-0594414-X
MathSciNet review:
594414
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Abstract | References | Similar Articles | Additional Information
Abstract: For a completely regular Hausdorff space ,
denotes the Hewitt realcompactification of
. Given a topological property
of spaces, our interest is in characterizing the class
of all spaces
such that
holds for each
-space
. In the present paper, we obtain such characterizations in the case that
is locally compact and in the case that
is metrizable.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1981-0594414-X
Keywords:
Hewitt realcompactification,
product space,
locally compact space,
metrizable space,
weak -space,
pseudo-
-compact space,
quotient map,
perfect map,
-embedding,
absolute,
nonmeasurable cardinal,
-expandable family
Article copyright:
© Copyright 1981
American Mathematical Society