Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shrinking simplicial subdivisions, strong barycenters, and limit sets of
  codimension one quasi-convex subgroups   We show that quasi-convex subgroups of negatively curved manifold groups with
codimension one have nicely embedded limit sets in the visual boundary if the
complement of the limit sets admits what we call strong barycenters, a property
related to the absence of large diameter sets with 'positive curvature.'
Furthermore, we show that the same result can be obtained if, in the complement
of the limit set, simplicial complexes can be subdivided in a way that
'shrinks' them metrically. This provides us with two sufficient geometric
conditions for the limit set of a quasi-convex subgroup to be nicely embedded.

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The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int