Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Rota's Conjecture and nested separations in matroids   We prove that for each finite field $\mathbb F$ and integer $k\in \mathbb Z$
there exists $n\in \mathbb Z$ such that no excluded minor for the class of
$\mathbb F$-representable matroids has $n$ nested $k$-separations.

27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph