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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2412.05995 |
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| _version_ | 1866913601225228288 |
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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 |