Definition:Continuum (Topology)

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Let $T = \struct {S, \tau}$ 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.