Carathéodory’s Theorem and moduli of local connectivity

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2016_McNicholl_Caratheodory_sTheorem.pdf (249.18 KB)
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2016-01-01
Authors
McNicholl, Timothy
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Computer ScienceMathematics
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.
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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.
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http://doi.org/10.1080/17476933.2015.1057713
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https://dr.lib.iastate.edu/handle/20.500.12876/54490
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Analysis
Geometry and Topology
Mathematics
Keywords
conformal mapping, extremal distance, locally connected spaces
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Fri Jan 01 00:00:00 UTC 2016
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