# Cantor-Bendixson theorem

Definition from Wiktionary, the free dictionary

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## English[edit]

### Proper noun[edit]

- (set theory) A theorem which states that a closed set in a Polish space is the disjoint union of a countable set and a perfect set.
*From the***Cantor-Bendixson theorem**it can be deduced that an uncountable set in must have an uncountable number of limit points.