Definition:Exterior Point (Complex Analysis)/Definition 2

Definition

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

Let $z_0 \in \C$.

$z_0$ is an exterior point of $S$ if and only if:

$z_0$ is not an interior point of $S$

and:

$z_0$ is not a boundary point of $S$.

Also see

• Equivalence of Definitions of Exterior Point (Complex Analysis)

Sources

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