Definition:Cut Point

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Definition

Let $T = \left({S, \tau}\right)$ be a topological space.

Let $H \subseteq S$ be a connected set in $T$ and let $p \in H$.

Let $p \in H$ such that $H \setminus \left\{{p}\right\}$ is disconnected, where $\setminus$ denotes set difference.


Then $p$ is a cut point of $H$.


Also see

  • Results about cut points can be found here.


Sources