# Definition:Continuum (Topology)

## Definition

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

Let $H \subseteq S$ be both compact and connected in $T$.

Then $H$ is a continuum.

## Also see

• Results about continua can be found here.

## Linguistic Note

The plural of continuum is continua, although the technically-erroneous form continuums can occasionally be found.