ultraconnected space
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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.
Defines:
ultraconnected, ultra-connected
Synonym:
ultra-connected space
Type of Math Object:
Definition
Major Section:
Reference
Mathematics Subject Classification
54D05 Connected and locally connected spaces (general aspects)
