Cubical abelian groups with connections are equivalent to chain complexes
Algebraic Topology
2016-09-07 v1 Category Theory
Abstract
The theorem of the title is deduced from the equivalence between crossed complexes and cubical -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.
Keywords
Cite
@article{arxiv.math/0212157,
title = {Cubical abelian groups with connections are equivalent to chain complexes},
author = {R. Brown and Philip J. Higgins},
journal= {arXiv preprint arXiv:math/0212157},
year = {2016}
}
Comments
3 pages. Latex2E