Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tree amalgamations and quasi-isometries   We investigate the connections between tree amalgamations and
quasi-isometries. In particular, we prove that the quasi-isometry type of
multi-ended accessible quasi-transitive connected locally finite graphs is
determined by the quasi-isometry type of their one-ended factors in any of
their terminal factorisations. Our results carry over theorems of Papsoglu and
Whyte on quasi-isometries between multi-ended groups to those between
multi-ended graphs. In the end, we discuss the impact of our results to a
question of Woess.

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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol