Difference between revisions of "Countably-compact space"
From Encyclopedia of Mathematics
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| − | A topological space | + | {{TEX|done}} |
| − | + | 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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| − | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> A.V. Arkhangel'skii, V.I. Ponomarev, "Fundamentals of general topology: problems and exercises" , Reidel (1984) (Translated from Russian)</TD></TR></table> | + | <table> |
| + | <TR><TD valign="top">[a1]</TD> <TD valign="top"> A.V. Arkhangel'skii, V.I. Ponomarev, "Fundamentals of general topology: problems and exercises" , Reidel (1984) (Translated from Russian)</TD></TR> | ||
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Latest revision as of 13:10, 7 April 2023
A topological space $X$ in which it is possible to extract a finite subcovering from any countable open covering of that space.
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=16807
Countably-compact space. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Countably-compact_space&oldid=16807
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article