Countable Compactness - Mathematics & Logic - Pure Mathematics Dictionary Definition A topological property: a space is countably compact if every countable open cover has a finite subcover; equivalently (under the usual separation hypotheses) every countably infinite subset has an accumulation point.
Countable Compactness - Mathematics & Logic - Pure Mathematics Dictionary Definition A topological property: a space is countably compact if every countable open cover has a finite subcover; equivalently (under the usual separation hypotheses) every countably infinite subset has an accumulation point.