Quasiregular values and Rickman's Picard theorem
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913839329574912 |
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| author | Kangasniemi, Ilmari Onninen, Jani |
| author_facet | Kangasniemi, Ilmari Onninen, Jani |
| contents | We prove a far-reaching generalization of Rickman's Picard theorem for a surprisingly large class of mappings, based on the recently developed theory of quasiregular values. Our results are new even in the planar case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_17653 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quasiregular values and Rickman's Picard theorem Kangasniemi, Ilmari Onninen, Jani Complex Variables 30C65 (Primary) 35R45 (Secondary) We prove a far-reaching generalization of Rickman's Picard theorem for a surprisingly large class of mappings, based on the recently developed theory of quasiregular values. Our results are new even in the planar case. |
| title | Quasiregular values and Rickman's Picard theorem |
| topic | Complex Variables 30C65 (Primary) 35R45 (Secondary) |
| url | https://arxiv.org/abs/2303.17653 |