Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: For maximally monotone linear relations, dense type, negative-infimum
  type, and Fitzpatrick-Phelps type all coincide with monotonicity of the
  adjoint   It is shown that, for maximally monotone linear relations defined on a
general Banach space, the monotonicities of dense type, of negative-infimum
type, and of Fitzpatrick-Phelps type are the same and equivalent to
monotonicity of the adjoint. This result also provides affirmative answers to
two problems: one posed by Phelps and Simons, and the other by Simons.

19
The categories of this paper are: eess
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
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con