Peano space
A Peano space is a compact, connected, locally connected metric space.
Every Peano space is arcwise connected.
A Hausdorff space is the continuous image of the unit interval if and only if it is a Peano space.
| Title | Peano space |
|---|---|
| Canonical name | PeanoSpace |
| Date of creation | 2013-03-22 15:59:03 |
| Last modified on | 2013-03-22 15:59:03 |
| Owner | Mathprof (13753) |
| Last modified by | Mathprof (13753) |
| Numerical id | 6 |
| Author | Mathprof (13753) |
| Entry type | Definition |
| Classification | msc 54E45 |