# Definition:Weakly Countably Compact Space

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## Definition

Let $T = \struct {S, \tau}$ be a topological space.

$T$ is **weakly countably compact** if and only if every infinite subset of $S$ has a limit point in $S$.

## Also known as

A space which is **weakly countably compact** can also be described as **limit point compact**.

## Also see

- Results about
**weakly 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