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The Carathéodory Reflection Principle and Osgood–Carathéodory Theorem on Riemann Surfaces
Published online by Cambridge University Press: 20 November 2018
Abstract
The Osgood–Carathéodory theorem asserts that conformal mappings between Jordan domains extend to homeomorphisms between their closures. For multiply-connected domains on Riemann surfaces, similar results can be reduced to the simply-connected case, but we find it simpler to deduce such results using a direct analogue of the Carathéodory reflection principle.
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- Copyright © Canadian Mathematical Society 2016
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