Geodesic
Cubical abelian groups with connections are equivalent to chain complexes
Homology, homotopy, and applications, Tome 5 (2003) no. 1, pp. 49-52.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2003.v5.n1.a2
Classification : 18D35, 18G35, 55U15
Keywords: chain complexes, cubical sets with connections, abelian group objects, crossed complexes, globular and cubical $\omega$-categories 
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Ronald Brown; Philip J. Higgins. Cubical abelian groups with connections are equivalent to chain complexes. Homology, homotopy, and applications, Tome 5 (2003) no. 1, pp. 49-52. doi : 10.4310/HHA.2003.v5.n1.a2. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2003.v5.n1.a2/

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