Carath\'eodory's Theorem and moduli of local connectivity
Complex Variables
2015-01-08 v2
Abstract
We give a constructive proof of the Carath\'eodory Theorem by means of the concept of a modulus of local connectivity and the extremal distance of the separating curves of an annulus.
Keywords
Cite
@article{arxiv.1408.3781,
title = {Carath\'eodory's Theorem and moduli of local connectivity},
author = {Timothy H. McNicholl},
journal= {arXiv preprint arXiv:1408.3781},
year = {2015}
}