A Simple Topological Characterization of Regions of Bounded Type

Details A Simple Topological Characterization of Regions of Bounded Type A Simple Topological Characterization of Regions of Bounded Type

2000-01-31

arxiv.org/abs/math/0001180v2

Mathematics

Complex Variables

This paper has been withdrawn by the author since Theorem 3 is incorrect

Scientific paper

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This paper has been withdrawn by the author since Theorem 3 is incorrect.

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