Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Uniform Local Amenability   The main results of this paper show that various coarse (`large scale')
geometric properties are closely related. In particular, we show that property
A implies the operator norm localisation property, and thus that norms of
operators associated to a very large class of metric spaces can be effectively
estimated.
  The main tool is a new property called uniform local amenability. This
property is easy to negate, which we use to study some `bad' spaces. We also
generalise and reprove a theorem of Nowak relating amenability and asymptotic
dimension in the quantitative setting.

9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin