We prove a Dold-Kan type correspondence between the category of planar dendroidal abelian groups and a suitably constructed category of planar dendroidal chain 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.
|Number of pages||19|
|Journal||Journal of Pure and Applied Algebra|
|Publication status||Published - 1 Jul 2011|