Dold-Kan correspondence for dendroidal abelian groups

Javier J. Gutiérrez*, Andor Lukacs, Ittay Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)1669-1687
Number of pages19
JournalJournal of Pure and Applied Algebra
Issue number7
Publication statusPublished - 1 Jul 2011


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