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arXiv · 2010.13876

Exponential iteration and Borel sets

David S. Lipham
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Abstract

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.

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David S. Lipham. 2020-10-26. Exponential iteration and Borel sets. https://doi.org/10.1007/s40315-024-00526-7

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