Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new characterization of complete Heyting and co-Heyting algebras   We give a new order-theoretic characterization of a complete Heyting and
co-Heyting algebra $C$. This result provides an unexpected relationship with
the field of Nash equilibria, being based on the so-called Veinott ordering
relation on subcomplete sublattices of $C$, which is crucially used in Topkis'
theorem for studying the order-theoretic stucture of Nash equilibria of
supermodular games.

18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga