Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Kechris-Pestov-Todor\vcevi\'c correspondence from the point of view
  of category theory   The Kechris-Pestov-Todor\v{c}evi\'c correspondence (KPT-correspondence for
short) is a surprising correspondence between model theory, combinatorics and
topological dynamics. In this paper we present a categorical re-interpretation
of (a part of) the KPT-correspondence with the aim of proving a dual statement.
Our strategy is to take a "direct" result and then analyze the necessary
infrastructure that makes the result true by providing a purely categorical
proof of the categorical version of the result. We can then capitalize on the
Duality Principle to obtain the dual statements almost for free. We believe
that the dual version of the KPT-correspondence can not only provide the new
insights into the interplay of combinatorial, model-theoretic and topological
phenomena this correspondence binds together, but also explores the limits to
which categorical treatment of combinatorial phenomena can take us.

14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci