Category:Connected Sets (Complex Analysis)

This category contains results about Connected Sets in the context of Complex Analysis.

Let $D \subseteq \C$ be a subset of the set of complex numbers.

Definition 1

$D$ is connected if and only if every pair of points in $D$ can be joined by a staircase contour.

Definition 2

$D$ is connected if and only if every pair of points in $D$ can be joined by a polygonal path all points of which are in $D$.