Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On groups whose actions on finite-dimensional CAT(0) spaces have global
  fixed points   We give a criterion for group elements to have fixed points with respect to a
semi-simple action on a complete CAT(0) space of finite topological dimension.
As an application, we show that Thompson's group T and various generalizations
of Thompson's group V have global fixed points when they act semi-simply on
finite-dimensional complete CAT(0) spaces.

16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph