Pseudo-compact space
From Encyclopedia of Mathematics
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2020 Mathematics Subject Classification: Primary: 54D30 [MSN][ZBL]
A completely-regular space $X$ such that every real-valued continuous function on $X$ is bounded. In the class of normal spaces the concepts of countable compactness and pseudo-compactness coincide.
References
| [ArPo] | A.V. Arkhangel'skii, V.I. Ponomarev, "Fundamentals of general topology: problems and exercises", Reidel (1984) pp. 136 (Translated from Russian) |
| [En] | R. Engelking, "General topology", Heldermann (1989) |
How to Cite This Entry:
Pseudo-compact space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Pseudo-compact_space&oldid=25858
Pseudo-compact space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Pseudo-compact_space&oldid=25858
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article