Dold-Kan correspondence for dendroidal abelian groups
Algebraic Topology
2011-03-22 v1
Abstract
We prove a Dold-Kan type correspondence between the category of dendroidal abelian groups and a suitably constructed category of dendroidal complexes. Our result naturally extends the classical Dold-Kan correspondence between the category of simplicial abelian groups and the category of non-negatively graded chain complexes.
Cite
@article{arxiv.0909.3995,
title = {Dold-Kan correspondence for dendroidal abelian groups},
author = {Javier J. Gutiérrez and Andor Lukacs and Ittay Weiss},
journal= {arXiv preprint arXiv:0909.3995},
year = {2011}
}