A Simple Topological Characterization of Regions of Bounded Type
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🧮 math.CV
keywords
boundedomegaauthorbeencharacterizationdisconnectedfunctionholomorphic
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We prove that there is a one-to-one, bounded, holomorphic function on a region $\Omega$ iff $S^{2} - \Omega$ is not totally disconnected. This paper has been withdrawn by the author since Theorem 3 is incorrect.
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