Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The categorical graph minor theorem   We define the graph minor category and prove that the category of
contravariant representations of the graph minor category over a Noetherian
ring is locally Noetherian. This can be regarded as a categorification of the
Robertson--Seymour graph minor theorem. In addition, we generalize Sam and
Snowden's Gr\"obner theory of categories to the setting of pairs consisting of
a category along with a functor to sets, and we apply this theory to the edge
functor on the graph minor category. As an application, we study homology
groups of unordered configuration spaces of graphs, improving upon various
finite generation results in this subject.

16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn