Definition:Continuum (Topology)

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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.


Sources