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.

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

Also see

 * Definition:Subcontinuum
 * Definition:Proper Subcontinuum