Definition:Interior Point (Complex Analysis)

From ProofWiki
Jump to navigation Jump to search

This page is about the interior points of a subset of the complex plane. For other uses, see Definition: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