Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the rank functions of $\mathcal{H}$-matroids   The notion of $\mathcal{H}$-matroids was introduced by U. Faigle and S.
Fujishige in 2009 as a general model for matroids and the greedy algorithm.
They gave a characterization of $\mathcal{H}$-matroids by the greedy algorithm.
In this note, we give a characterization of some $\mathcal{H}$-matroids by rank
functions.

21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics