Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An elementary proof of the rank-one theorem for BV functions   We provide a simple proof of a result, due to G. Alberti, concerning a
rank-one property for the singular part of the derivative of vector-valued
functions of bounded variation.

25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph