Dold–Kan correspondence for dendroidal abelian groups

J. J. Gutiérrez; A. Lukacs; I. Weiss

doi:10.1016/j.jpaa.2010.10.003

Dold–Kan correspondence for dendroidal abelian groups

J. J. Gutiérrez, A. Lukacs, I. Weiss

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Research output: Contribution to journal › Article › Academic › peer-review

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
Pages (from-to)	1669-1687
Number of pages	19
Journal	Journal of Pure and Applied Algebra
Volume	215
Issue number	7
DOIs	https://doi.org/10.1016/j.jpaa.2010.10.003
Publication status	Published - Jul 2011

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Weiss-Dold-Kan 2010
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title = "Dold–Kan correspondence for dendroidal abelian groups",

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",

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AU - Lukacs, A.

AU - Weiss, I.

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AB - 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

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DO - 10.1016/j.jpaa.2010.10.003

M3 - Article

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VL - 215

SP - 1669

EP - 1687

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

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Dold–Kan correspondence for dendroidal abelian groups

Abstract

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