TL;DR
This paper demonstrates how the property of effective local connectivity can be used to compute the Carathéodory extension of a conformal map from a Jordan domain to the unit disk.
Contribution
It introduces a method leveraging effective local connectivity to compute the Carathéodory extension, advancing computational conformal mapping techniques.
Findings
Computability of Carathéodory extension established
Method based on effective local connectivity
Extension applicable to Jordan domains
Abstract
By means of the property of effective local connectivity, the computability of finding the Carath\'eodory extension of a conformal map of a Jordan domain onto the unit disk is demonstrated.
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