Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The topological dimension of radial Julia sets   We prove that the meandering set for $f_a(z)=e^z+a$ is homeomorphic to the
space of irrational numbers whenever $a$ belongs to the Fatou set of $f_a$.
This extends recent results by Vasiliki Evdoridou and Lasse Rempe. It implies
that the radial Julia set of $f_a$ has topological dimension zero for all
attracting and parabolic parameters, including all $a\in (-\infty,-1]$. Similar
results are obtained for Fatou's function $f(z)=z+1+e^{-z}$.

36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
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The categories of this paper are: acc-phys
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin