= Island of a meromorphic function
= Islands of a meromorphic function
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An island over a <Jordan domain> $D$ is a relatively compact component $U$ of its inverse image on which the <meromorphic function> is a <proper map> onto $D$. A component reaching the boundary of the source is instead a peninsula. The island has an integer mapping degree; degree one means that the map is a <biholomorphism>. A simply connected island can have larger degree and need not be a simple island.
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