Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isoperimetry and Symmetrization for Sobolev spaces on metric spaces   Using isoperimetry we obtain new symmetrization inequalities that allow us to
provide a unified framework to study Sobolev inequalities in metric spaces. The
applications include concentration inequalities, as well as metric versions of
the P\'{o}% lya-Szeg\"{o} and Faber-Krahn principles.

16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom