Carathéodory's Theorem and moduli of local connectivity

Timothy H. McNicholl

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arXiv · 1408.3781

Carathéodory's Theorem and moduli of local connectivity

Timothy H. McNicholl

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Abstract

We give a constructive proof of the Carathéodory Theorem by means of the concept of a modulus of local connectivity and the extremal distance of the separating curves of an annulus.

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Timothy H. McNicholl. 2015-01-07. Carathéodory's Theorem and moduli of local connectivity. https://arxiv.org/abs/1408.3781

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