Dold–Kan correspondence for dendroidal abelian groups
Publication date
2011-07
Authors
Gutiérrez, J. J.
Lukacs, A.
Weiss, I.
Editors
Advisors
Supervisors
Document Type
Article
Metadata
Show full item recordCollections
License
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
Keywords
Citation
Gutiérrez, J J, Lukacs, A & Weiss, I 2011, 'Dold–Kan correspondence for dendroidal abelian groups', Journal of Pure and Applied Algebra, vol. 215, no. 7, pp. 1669-1687. https://doi.org/10.1016/j.jpaa.2010.10.003