Erdős space in Julia sets

IF 0.9 3区数学 Q2 MATHEMATICS

Bulletin of the London Mathematical Society Pub Date : 2025-07-15 DOI:10.1112/blms.70131

David S. Lipham

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引用次数: 0

Abstract

We prove that the rational Hilbert space, known as the Erdős space $E$ , surfaces in complex dynamics via iteration of $e^{z} - 1$ . More precisely, $E$ is topologically equivalent to the set of endpoints of the Julia set $J (e^{z} - 1)$ whose orbits tend to infinity in the imaginary direction.