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 |