Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A cohomological characterisation of Yu's Property A for metric spaces   Property A was introduced by Yu as a non-equivariant analogue of amenability.
Nigel Higson posed the question of whether there is a homological
characterisation of property A. In this paper we answer Higson's question
affirmatively by constructing analogues of group cohomology and bounded
cohomology for a metric space X, and show that property A is equivalent to
vanishing cohomology. Using these cohomology theories we also give a
characterisation of property A in terms of the existence of an asymptotically
invariant mean on the space.

8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas