# Definition:Ultraconnected Space/Definition 2

## Definition

A topological space $T = \struct {S, \tau}$ is ultraconnected if and only if the closures of every distinct pair of elements of $S$ are not disjoint:

$\forall x, y \in S: \set x^- \cap \set y^- \ne \O$

## Also see

• Results about ultraconnected spaces can be found here.