Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak capacity and modulus comparability in Ahlfors regular metric spaces   Let $(Z,d,\mu)$ be a compact, connected, Ahlfors $Q$-regular metric space
with $Q>1$. Using a hyperbolic filling of $Z$, we define the notions of the
$p$-capacity between certain subsets of $Z$ and of the weak covering
$p$-capacity of path families $\Gamma$ in $Z$. We show comparability results
and quasisymmetric invariance. As an application of our methods we deduce a
result due to Tyson on the geometric quasiconformality of quasisymmetric maps
between compact, connected Ahlfors $Q$-regular metric spaces.

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The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
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The categories of this paper are: bayes-an