Definition:Composant/Point

Definition

Let $T = \struct {S, \tau}$ be a topological space.

Let $H \subseteq S$ be a continuum in $T$.

Let $C \subseteq H$ be a subset of $H$.

Let $p \in H$.

Then $C$ is the composant of $p$ if and only if:

$C$ is the union of all proper subcontinua of $H$ that contain $p$.

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