Pseudo-compact space
From Encyclopedia of Mathematics
A completely-regular space 
such that every real-valued continuous function on 
is bounded. In the class of normal spaces the concepts of countable compactness (cf. Countably-compact space) and pseudo-compactness coincide.
Comments
References
| [a1] | R. Engelking, "General topology" , Heldermann (1989) |
| [a2] | A.V. Arkhangel'skii, V.I. Ponomarev, "Fundamentals of general topology: problems and exercises" , Reidel (1984) pp. 136 (Translated from Russian) |
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