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单词 CountablyCompact
释义

countably compact


A topological spaceMathworldPlanetmath X is said to be countably compact if every countableMathworldPlanetmath open cover has a finite subcover.

Countable compactness is equivalentMathworldPlanetmathPlanetmathPlanetmathPlanetmathPlanetmath to limit point compactness if A is T1 spaces, and is equivalent to compactness (http://planetmath.org/CompactPlanetmathPlanetmath) if X is a metric space.

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更新时间:2025/5/4 4:04:58