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math.DS2020★ 7 cited
The topological dimension of radial Julia sets
David S. Lipham
We prove that the meandering set for is homeomorphic to the space of irrational numbers whenever belongs to the Fatou set of . This extends recent results b…
math.DS2019★ 2 cited
A note on the topology of escaping endpoints
David Sumner Lipham
We study topological properties of the escaping endpoints and fast escaping endpoints of the Julia set of complex exponential when . We show neither…