Definition:Countably Compact Space/Definition 1
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Definition
A topological space $T = \struct {S, \tau}$ is countably compact if and only if:
- every countable open cover of $T$ has a finite subcover.
Also see
- Results about countably compact spaces can be found here.
Sources
- 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text I$: Basic Definitions: Section $3$: Compactness: Global Compactness Properties: $\text {CC}_1$