Sequentially compact space

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This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
This is a variation of compactness. View other variations of compactness


Symbol-free definition

A topological space is said to be sequentially compact if every sequence in it has a convergent subsequence.

Relation with other properties

Weaker properties


Textbook references

  • Topology (2nd edition) by James R. MunkresMore info, Page 179 (formal definition)