Sequentially compact space: Difference between revisions
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===Weaker properties=== | ===Weaker properties=== | ||
* [[Countably compact space]] | |||
* [[Limit point-compact space]] | * [[Limit point-compact space]] | ||
==References== | |||
===Textbook references=== | |||
* {{booklink|Munkres}}, Page 179 (formal definition) | |||
Latest revision as of 19:58, 11 May 2008
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
Definition
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
References
Textbook references
- Topology (2nd edition) by James R. MunkresMore info, Page 179 (formal definition)