Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On multiply connected wandering domains of meromorphic functions   We describe conditions under which a multiply connected wandering domain of a
transcendental meromorphic function with a finite number of poles must be a
Baker wandering domain, and we discuss the possible eventual connectivity of
Fatou components of transcendental meromorphic functions. We also show that if
$f$ is meromorphic, $U$ is a bounded component of $F(f)$ and $V$ is the
component of $F(f)$ such that $f(U)\subset V$, then $f$ maps each component of
$\partial U$ onto a component of the boundary of $V$ in $\hat{\C}$. We give
examples which show that our results are sharp; for example, we prove that a
multiply connected wandering domain can map to a simply connected wandering
domain, and vice versa.

35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas