Sequentially compact space
From Topospaces
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
Contents
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. Munkres^{More info}, Page 179 (formal definition)