Definition:Ultraconnected Space/Definition 1

Definition

A topological space $T = \struct {S, \tau}$ is ultraconnected if and only if no two non-empty closed sets are disjoint.

Also see

• Equivalence of Definitions of Ultraconnected Space

• Results about ultraconnected spaces can be found here.

Sources

• 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text I$: Basic Definitions: Section $4$: Connectedness