Dold-Kan correspondence for dendroidal abelian groups

Details Dold-Kan correspondence for dendroidal abelian groups Dold-Kan correspondence for dendroidal abelian groups

2009-09-22

arxiv.org/abs/0909.3995v1

Journal of Pure and Applied Algebra 215 (2011), pp. 1669-1687

Mathematics

Algebraic Topology

Scientific paper

10.1016/j.jpaa.2010.10.003

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.

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