A Simple Topological Characterization of Regions of Bounded Type

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We prove that there is a one-to-one, bounded, holomorphic function on a region $Ω$ iff $S^{2} - Ω$ is not totally disconnected. This paper has been withdrawn by the author since Theorem 3 is incorrect.
This paper has been withdrawn by the author since Theorem 3 is incorrect

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Complex Variables, 30A99

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http://salesiana.dossiersoluciones.com/handle/123456789/58599

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0001180
 http://arxiv.org/abs/math/0001180

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arXiv