# Definition:Disconnected (Topology)

## Definition

### Topological Space

A topological space $T$ is disconnected if and only if it is not connected.

### Subset of Topological Space

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

### Points in Topological Space

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

Let $a, b \in S$.

Then $a$ and $b$ are disconnected (in $T$) if and only if they are not connected (in $T$).

## Also see

• Results about disconnected spaces can be found here.