Exponential iteration and Borel sets
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2020
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| _version_ | 1866909154996649984 |
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| author | Lipham, David S. |
| author_facet | Lipham, David S. |
| contents | We determine the exact Borel class of the points whose iterates under $\exp(z)+a$ tend to infinity. We also prove that the sets of non-escaping Julia points for many of these functions are topologically equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2010_13876 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Exponential iteration and Borel sets Lipham, David S. General Topology Complex Variables 54F45, 54H05, 54E52, 30D05, 37F10 We determine the exact Borel class of the points whose iterates under $\exp(z)+a$ tend to infinity. We also prove that the sets of non-escaping Julia points for many of these functions are topologically equivalent. |
| title | Exponential iteration and Borel sets |
| topic | General Topology Complex Variables 54F45, 54H05, 54E52, 30D05, 37F10 |
| url | https://arxiv.org/abs/2010.13876 |