Abstract
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.
Original language | English |
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Pages (from-to) | 1669-1687 |
Number of pages | 19 |
Journal | Journal of Pure and Applied Algebra |
Volume | 215 |
Issue number | 7 |
DOIs | |
Publication status | Published - 1 Jul 2011 |