Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The difference vectors for convex sets and a resolution of the geometry
  conjecture   The geometry conjecture, which was posed nearly a quarter of a century ago,
states that the fixed point set of the composition of projectors onto nonempty
closed convex sets in Hilbert space is actually equal to the intersection of
certain translations of the underlying sets.
  In this paper, we provide a complete resolution of the geometry conjecture.
Our proof relies on monotone operator theory. We revisit previously known
results and provide various illustrative examples. Comments on the numerical
computation of the quantities involved are also presented.

36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys