Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on bounded-cohomological dimension of discrete groups   Bounded-cohomological dimension of groups is a relative of classical
cohomological dimension, defined in terms of bounded cohomology with trivial
coefficients instead of ordinary group cohomology. We will discuss
constructions that lead to groups with infinite bounded-cohomological
dimension, and we will provide new examples of groups with
bounded-cohomological dimension equal to 0. In particular, we will prove that
every group functorially embeds into an acyclic group with trivial bounded
cohomology.

28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th