Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamic Asymptotic Dimension: relation to dynamics, topology, coarse
  geometry, and $C^*$-algebras   We introduce dynamic asymptotic dimension, a notion of dimension for actions
of discrete groups on locally compact spaces, and more generally for locally
compact \'etale groupoids. We study our notion for minimal actions of the
integer group, its relation with conditions used by Bartels, L\"uck, and Reich
in the context of controlled topology, and its connections with Gromov's theory
of asymptotic dimension. We also show that dynamic asymptotic dimension gives
bounds on the nuclear dimension of Winter and Zacharias for C*-algebras
associated to dynamical systems. Dynamic asymptotic dimension also has
implications for K-theory and manifold topology: these will be drawn out in
subsequent work.

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The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph