Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spherical subcomplexes of spherical buildings   Let B be a thick spherical building equipped with its natural CAT(1) metric
and let M be a proper, convex subset of B. If M is open or if M is a closed
ball of radius pi/2, then the maximal subcomplex supported by the complement of
M is spherical and non contractible.

33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
19
The categories of this paper are: eess