Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Quasiconvexity and Relative Hyperbolic Structures   Let G be a group which is hyperbolic relative to a collection of subgroups A,
and it is also hyperbolic relative to a collection of subgroups B. Suppose that
the collection A contains B. We characterize, for subgroups of G, when
quasicovexity relative to A implies quasiconvexity relative to B. We also show
that quasiconvexity relative to B implies quasiconvexity relative to A. Some
applications are discussed.

10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess