Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tree amalgamations and hyperbolic boundaries   We look at tree amalgamations of locally finite quasi-transitive hyperbolic
graphs and prove that the homeomorphism type of the hyperbolic boundary of such
a tree amalgamation only depends on the homeomorphism types of the hyperbolic
boundaries of their factors. Additionally, we show that two locally finite
quasi-transitive hyperbolic graphs have homeomorphic hyperbolic boundaries if
and only if the homeomorphism types of the hyperbolic boundaries of the factors
of their terminal factorisations coincide.

11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio