Dold-Kan correspondence for dendroidal abelian groups

Javier J. Gutiérrez; Andor Lukacs; Ittay Weiss

doi:10.1016/j.jpaa.2010.10.003

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arXiv · 0909.3995

Dold-Kan correspondence for dendroidal abelian groups

Javier J. Gutiérrez·Andor Lukacs·Ittay Weiss

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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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Javier J. Gutiérrez, Andor Lukacs, Ittay Weiss. 2009-09-22. Dold-Kan correspondence for dendroidal abelian groups. https://doi.org/10.1016/j.jpaa.2010.10.003

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