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Countably-compact space

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A topological space $X$ in which it is possible to extract a finite subcovering from any countable open covering of that space.


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References

[a1] A.V. Arkhangel'skii, V.I. Ponomarev, "Fundamentals of general topology: problems and exercises" , Reidel (1984) (Translated from Russian)
How to Cite This Entry:
Countably-compact space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Countably-compact_space&oldid=31977
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article