Carathéodory convergence and the conformal type problem
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2024
- DOI:
- arXiv:
- arXiv:2412.05995
- Bibcode:
- 2024arXiv241205995E
- Keywords:
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- Mathematics - Complex Variables;
- 30F99
- E-Print:
- 16 pages, 3 figures