Dold-Kan correspondence for dendroidal abelian groups

Javier J. Gutiérrez; Andor Lukacs; Ittay Weiss

doi:10.1016/j.jpaa.2010.10.003

Dold-Kan correspondence for dendroidal abelian groups

Javier J. Gutiérrez^*, Andor Lukacs, Ittay Weiss

^*Corresponding author for this work

School of Mathematics & Physics

Research output: Contribution to journal › Article › 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 - 1 Jul 2011

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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.",

author = "Guti{\'e}rrez, \{Javier J.\} and Andor Lukacs and Ittay Weiss",

year = "2011",

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doi = "10.1016/j.jpaa.2010.10.003",

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T1 - Dold-Kan correspondence for dendroidal abelian groups

AU - Gutiérrez, Javier J.

AU - Lukacs, Andor

AU - Weiss, Ittay

PY - 2011/7/1

Y1 - 2011/7/1

N2 - 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.

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.

UR - https://www.scopus.com/pages/publications/79951681789

U2 - 10.1016/j.jpaa.2010.10.003

DO - 10.1016/j.jpaa.2010.10.003

M3 - Article

AN - SCOPUS:79951681789

SN - 0022-4049

VL - 215

SP - 1669

EP - 1687

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 7

ER -

Dold-Kan correspondence for dendroidal abelian groups

Abstract

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