ultraconnected space
A topological space
is said to be ultraconnected if no pair of nonempty closed sets of is disjoint.
All ultraconnected spaces are path-connected, normal, limit point compact, and pseudocompact.
| Title | ultraconnected space |
|---|---|
| Canonical name | UltraconnectedSpace |
| Date of creation | 2013-03-22 14:20:33 |
| Last modified on | 2013-03-22 14:20:33 |
| Owner | yark (2760) |
| Last modified by | yark (2760) |
| Numerical id | 6 |
| Author | yark (2760) |
| Entry type | Definition |
| Classification | msc 54D05 |
| Synonym | ultra-connected space |
| Related topic | Hyperconnected |
| Defines | ultraconnected |
| Defines | ultra-connected |