Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the structure of flat chains modulo $p$   In this paper, we prove that every equivalence class in the quotient group of
integral $1$-currents modulo $p$ in Euclidean space contains an integral
current, with quantitative estimates on its mass and the mass of its boundary.
Moreover, we show that the validity of this statement for $m$-dimensional
integral currents modulo $p$ implies that the family of $(m-1)$-dimensional
flat chains of the form $pT$, with $T$ a flat chain, is closed with respect to
the flat norm. In particular, we deduce that such closedness property holds for
$0$-dimensional flat chains, and, using a proposition from "The structure of
minimizing hypersurfaces mod $4$" by Brian White, also for flat chains of
codimension $1$.

37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph