Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Embedding relatively hyperbolic groups in products of trees   We show that a relatively hyperbolic group quasi-isometrically embeds in a
product of finitely many trees if the peripheral subgroups do, and we provide
an estimate on the minimal number of trees needed. Applying our result to the
case of 3-manifolds, we show that fundamental groups of closed 3-manifolds have
linearly controlled asymptotic dimension at most 8. To complement this result,
we observe that fundamental groups of Haken 3-manifolds with non-empty boundary
have asymptotic dimension 2.

21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom