# Cantor-Bendixson theorem

(Redirected from Cantor–Bendixson theorem)

## 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.