Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new metric criterion for non-amenability III: Non-amenability of
  R.Thompson's group F   We present new metric criteria for non-amenability and discuss applications.
The main application of the results of this paper is the proof of
non-amenability of R.Thompson's group F. This is a continuation of the series
of papers on our criteria for non-amenability. The current paper is independent
of other papers in the series.

6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci