Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximality and numeraires in convex sets of nonnegative random variables   We introduce the concepts of max-closedness and numeraires of convex subsets
in the nonnegative orthant of the topological vector space of all random
variables built over a probability space, equipped with a topology consistent
with convergence in probability. Max-closedness asks that maximal elements of
the closure of a set already lie on the set. We discuss how numeraires arise
naturally as strictly positive optimisers of certain concave monotone
maximisation problems. It is further shown that the set of numeraires of a
convex, max-closed and bounded set of of nonnegative random variables that
contains at least one strictly positive element is dense in the set of its
maximal elements.

16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex