Darboux's monodromy theorem

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Darboux's monodromy theorem [′där·büz ¦män·ə‚drä·mē ‚thir·əm]

(mathematics)

The proposition that, if the function ƒ(z) of the complex variablezis analytic in a domainDbounded by a simple closed curveC,and ƒ(z) is continuous in the union ofDandCand is injective forzonC,then ƒ(z) is injective forzinD.

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