A Tychonoff almost realcompactification
Author:
R. Grant Woods
Journal:
Proc. Amer. Math. Soc. 43 (1974), 200-208
MSC:
Primary 54D60
DOI:
https://doi.org/10.1090/S0002-9939-1974-0331330-4
MathSciNet review:
0331330
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Abstract | References | Similar Articles | Additional Information
Abstract: Let be a Tychonoff topological space. A Tychonoff almost realcompact space
is constructed that contains
as a dense subspace and has the property that if
is continuous and
is Tychonoff and almost realcompact, then
can be extended continuously to
. Several characterizations of
are given, and the relationships between
, the Hewitt realcompactification
, and the minimal
-realcompactification
are investigated. Properties of the projective covers of these spaces, and their relation to
denotes the projective cover of
), are discussed.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1974-0331330-4
Keywords:
Almost realcompactification,
Tychonoff space,
projective cover,
-realcompactification
Article copyright:
© Copyright 1974
American Mathematical Society