Jordan domain
= Jordan domain
{c}
A Jordan domain is the bounded complementary component of a closed <simple curve> in the plane. The <Jordan curve theorem> separates the plane into this inside component and one unbounded outside component. A <conformal bijection> from the disc or <complex upper half-plane> to this <simply connected> domain extends to a homeomorphism of their closed conformal boundaries by the <Caratheodory boundary extension theorem>.