Carath\'eodory convergence and the conformal type problem

Alexandre Eremenko; Sergei Merenkov

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arXiv · 2412.05995

Carath\'eodory convergence and the conformal type problem

Alexandre Eremenko·Sergei Merenkov

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Abstract

We study Carath\'eodory 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.

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Alexandre Eremenko, Sergei Merenkov. 2024-12-08. Carath\'eodory convergence and the conformal type problem. https://arxiv.org/abs/2412.05995

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