# Definition:Interior Point (Complex Analysis)

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This page is about Interior Point in the context of Complex Analysis. For other uses, see Interior Point.

## Definition

Let $S \subseteq \C$ be a subset of the complex plane.

Let $z \in S$.

$z$ is an interior point of $S$ if and only if $z$ has an $\epsilon$-neighborhood $\map {N_\epsilon} z$ such that $\map {N_\epsilon} z \subseteq S$.