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Mathematics  2009 

Dold-Kan correspondence for dendroidal abelian groups

DOI: 10.1016/j.jpaa.2010.10.003

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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.

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