# Definition:Disconnected (Topology)

Jump to navigation
Jump to search

*This page is about disconnectedness in topology. For other uses, see Definition:Disconnected.*

## Contents

## 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.