On critical points of proper holomorphic maps on the unit disk

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We prove that a proper holomorphic map on the unit disk in the complex plane is uniquely determined up to post-composition with a Moebius transformation by its critical points.

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Dynamical Systems, Complex Variables

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http://salesiana.dossiersoluciones.com/handle/123456789/153057

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9606221
 http://arxiv.org/abs/math/9606221
 Bull. London Math. Soc. 30 (1998) pp. 62-66.

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arXiv