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countably compact∗ Evandar† 2013-03-21 13:04:32 A topological space X is said to be countably compact if every countable open cover has a finite subcover. Countable compactness is equivalent to limit point compactness if A is T1 spaces, and is equivalent to compactness if X is a metric space. ∗ hCountablyCompacti created: h2013-03-21i by: hEvandari version: h31233i Privacy setting: h1i hDefinitioni h54D20i † This text is available under the Creative Commons Attribution/Share-Alike License 3.0. You can reuse this document or portions thereof only if you do so under terms that are compatible with the CC-BY-SA license. 1
