Definition:Connected Set (Complex Analysis)/Definition 2

Definition

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

$D$ 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 $D$.

Also see

• Equivalence of Definitions of Connected Set (Complex Analysis)

Sources

• 1981: Murray R. Spiegel: Theory and Problems of Complex Variables (SI ed.) ... (previous) ... (next): $1$: Complex Numbers: Point Sets: $7.$