Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Realizable Sticky Matroid Conjecture   We give a criterion for modular extension of rank-4 hypermodular matroids,
and prove a weakening of Kantor's conjecture for rank-4 realizable matroids.
This proves the sticky matroid conjecture and Kantor's conjecture for
realizable matroids due to an argument of Bachem, Kern, and Bonin, and due to
an equivalence argument of Hochstattler and Wilhelmi, respectively.

9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
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The categories of this paper are: eess
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics