# representation theorem for compact metric spaces

###### Theorem.

Every compact metric space is a continuous image of the Cantor set.

## References

• 1 S. Willard, General Topology, Addison-Wesley, Publishing Company, 1970.
Title representation theorem for compact metric spaces RepresentationTheoremForCompactMetricSpaces 2013-03-22 14:40:02 2013-03-22 14:40:02 matte (1858) matte (1858) 8 matte (1858) Theorem msc 54D30 msc 54E35 Dimension3 CantorSet HahnMazurkiewiczTheorem