Definition:Connected Set (Complex Analysis)

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Definition

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 $D$.


Also see

  • Results about connected sets can be found here.