Definition:Disconnected Set/Definition 1

Definition

Let $T = \struct {S, \tau}$ be a topological space.

Let $H \subseteq S$ be a non-empty subset of $S$.

$H$ is a disconnected set of $T$ if and only if it is not a connected set of $T$.

Also see

• Equivalence of Definitions of Disconnected Set

• Results about disconnected sets can be found here.

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