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A Simple Topological Characterization of Regions of Bounded Type

Ritabrata Munshi
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Abstract

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 This paper has been withdrawn by the author since Theorem 3 is incorrect.

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Ritabrata Munshi. 2000-02-28. A Simple Topological Characterization of Regions of Bounded Type. https://arxiv.org/abs/math/0001180

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