countably compactCountablyCompact2002-01-04 18:58:382002-02-03 12:44:55Definitiontopology\usepackage{amssymb}
\usepackage{amsmath}
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\usepackage{xypic}A topological space $X$ is said to be \emph{countably compact} if every countable open cover has a finite subcover.
Countable compactness is equivalent to limit point compactness if $A$ is $T_1$ spaces, and is equivalent to \PMlinkname{compactness}{Compact} if $X$ is a metric space.
\PMlinkescapeword{compact}