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 |
---|---|
Canonical name | RepresentationTheoremForCompactMetricSpaces |
Date of creation | 2013-03-22 14:40:02 |
Last modified on | 2013-03-22 14:40:02 |
Owner | matte (1858) |
Last modified by | matte (1858) |
Numerical id | 8 |
Author | matte (1858) |
Entry type | Theorem |
Classification | msc 54D30 |
Classification | msc 54E35 |
Related topic | Dimension3 |
Related topic | CantorSet |
Related topic | HahnMazurkiewiczTheorem |