Carathéodory’s Theorem and moduli of local connectivity

Date
2016-01-01
Authors
McNicholl, Timothy
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Altmetrics
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Research Projects
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Computer Science
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Mathematics
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Abstract

We give a quantitative 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.

Description

This is the author's original manuscript of an article published by Taylor & Francis Group as: McNicholl, Timothy H. "Carathéodory’s Theorem and moduli of local connectivity." Complex Variables and Elliptic Equations 61, no. 1 (2016): 76-85, doi:10.1080/17476933.2015.1057713. Available online: http://dx.doi.org/10.1080/17476933.2015.1057713. Posted with permission.

Keywords
conformal mapping, extremal distance, locally connected spaces
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