Ultraconnected space

From Wikipedia, the free encyclopedia

In mathematics, a topological space X is said to be ultraconnected if no pair of nonempty closed sets of X is disjoint. All ultraconnected spaces are path-connected, normal, limit point compact, and pseudocompact.

[edit] See also

• Hyperconnected space

[edit] References

• This article incorporates material from Ultraconnected space on PlanetMath, which is licensed under the GFDL.