ultraconnected space

A topological spaceMathworldPlanetmath 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.

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