completely metrizable
Let be a topological space
. is said to be completely metrizable if there is a metric on under which is complete
.
In particular, a completely metrizable space is metrizable.
completely metrizable
| Title | completely metrizable |
|---|---|
| Canonical name | CompletelyMetrizable |
| Date of creation | 2013-03-22 12:13:56 |
| Last modified on | 2013-03-22 12:13:56 |
| Owner | Evandar (27) |
| Last modified by | Evandar (27) |
| Numerical id | 5 |
| Author | Evandar (27) |
| Entry type | Definition |
| Classification | msc 54E35 |
| Synonym | complete metrizability |
| Synonym | topologically complete |
| Synonym | topological completeness |