Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniformly finite homology and amenable groups   Uniformly finite homology is a coarse invariant for metric spaces; in
particular, it is a quasi-isometry invariant for finitely generated groups. In
this article, we study uniformly finite homology of finitely generated amenable
groups and prove that it is infinite dimensional in many cases. The main idea
is to use different transfer maps to distinguish between classes in uniformly
finite homology. Furthermore we show that there are infinitely many classes in
degree zero that cannot be detected by means.

32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio