Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connectedness properties of the set where the iterates of an entire
  function are bounded   We investigate some connectedness properties of the set of points K(f) where
the iterates of an entire function f are bounded. In particular, we describe a
class of transcendental entire functions for which an analogue of the
Branner-Hubbard conjecture holds and show that, for such functions, if K(f) is
disconnected then it has uncountably many components. We give examples to show
that K(f) can be totally disconnected, and we use quasiconformal surgery to
construct a function for which K(f) has a component with empty interior that is
not a singleton.

11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th