Cubical abelian groups with connections are equivalent to chain complexes
代数拓扑
2016-09-07 v1 范畴论
摘要
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.
引用
@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}
}
备注
3 pages. Latex2E