cantor-bendixson theorem

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Definition of cantor-bendixson theorem in English English dictionary

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Cantor-Bendixson theorem

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 \mathbb{R} must have an uncountable number of limit points.

Hyphenation

cantor-bendixson the-o-rem