Title of Paper:  Cubical abelian groups with connections\\ are
equivalent to chain complexes

Author(s): Ronald Brown and Philip J. Higgins

AMS Classification numbers

 xxx LANL archive: math.AT/0212157

Addresses of Authors:  Ronald Brown
 Mathematics Division \\ School of Informatics,  \\ University of
Wales, Bangor \\Gwynedd LL57 1UT,  U.K.

Philip J. Higgins,
Department of Mathematical Sciences, \\ Science Laboratories, \\ South Rd., \\
Durham, DH1 3LE,  U.K

Email address of Authors  r.brown@bangor.ac.uk

p.j.higgins@durham.ac.uk

Abstract: 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.