\begin{definition}[Definition:Composant/Point]
Let $T = \left({S, \tau}\right)$ 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 $p$ {{iff}}:
:$C$ is the union of all proper subcontinua of $H$ that contain $p$.
{{NoSources}}
Category:Definitions/Continua
\end{definition}