Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tree-graded asymptotic cones   We study the bilipschitz equivalence type of tree-graded spaces, showing that
asymptotic cones of relatively hyperbolic groups (resp. asymptotic cones of
groups containing a cut-point) only depend on the bilipschitz equivalence types
of the pieces in the standard (resp. minimal) tree-graded structure. In
particular, the asymptotic cones of many relatively hyperbolic groups do not
depend on the scaling factor. We also describe the asymptotic cones as above
"explicitly". Part of these results were obtained independently and
simultaneously by D. Osin and M. Sapir.

29
The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: econ
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat