Carathéodory convergence and the conformal type problem

Fuente: arXiv
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Auteurs principaux: Eremenko, Alexandre, Merenkov, Sergei
Format: Preprint
Publié: 2024
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author Eremenko, Alexandre
Merenkov, Sergei
author_facet Eremenko, Alexandre
Merenkov, Sergei
contents We study Carathéodory convergence for open, simply connected surfaces spread over the sphere and, in particular, provide examples demonstrating that in the Speiser class the conformal type can change when two singular values collide.
format Preprint
id arxiv_https___arxiv_org_abs_2412_05995
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Carathéodory convergence and the conformal type problem
Eremenko, Alexandre
Merenkov, Sergei
Complex Variables
30F99
We study Carathéodory convergence for open, simply connected surfaces spread over the sphere and, in particular, provide examples demonstrating that in the Speiser class the conformal type can change when two singular values collide.
title Carathéodory convergence and the conformal type problem
topic Complex Variables
30F99
url https://arxiv.org/abs/2412.05995