Definition:Interior Point (Complex Analysis)

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 $\map {N_\epsilon} z \subseteq S$.

Sources

• 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Point Sets: $5.$