Definition:Connected Set
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Disambiguation
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Connected Set may refer to one of the following:
Connected Set (Topology)
$H$ is a connected set of $T$ if and only if it is not the union of two non-empty separated sets of $T$.
Connected Set (Complex Analysis)
$D$ is connected if and only if every pair of points in $D$ can be joined by a staircase contour.
Also see
- Results about connected sets can be found here.