Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cubical abelian groups with connections are equivalent to chain
  complexes   The theorem of the title is deduced from the equivalence between crossed
complexes and cubical $\omega$-groupoids with connections proved by the authors
in 1981. In fact we prove the equivalence of five categories defined internally
to an additive category with kernels.

25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom