# Definition:Connected (Topology)/Set/Definition 2

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## Definition

Let $T = \left({S, \tau}\right)$ be a topological space.

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

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

## Also see

- Results about
**connected sets**can be found here.