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# ultraconnected space

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.

Defines:

ultraconnected, ultra-connected

Related:

Hyperconnected

Synonym:

ultra-connected space

Type of Math Object:

Definition

Major Section:

Reference

## Mathematics Subject Classification

54D05*no label found*

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