# Cantor's intersection theorem

> theorem that a decreasing nested sequences of nonempty closed compact sets has nonempty intersection

**Wikidata**: [Q1050203](https://www.wikidata.org/wiki/Q1050203)  
**Wikipedia**: [English](https://en.wikipedia.org/wiki/Cantor's_intersection_theorem)  
**Source**: https://4ort.xyz/entity/cantor-s-intersection-theorem


## References

1. Freebase Data Dumps. 2013