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arXiv · 2307.13866

The Hurewicz model structure on simplicial $R$-modules

Arnaud Ngopnang Ngompé
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Abstract

By a theorem of Christensen and Hovey, the category of non-negatively graded chain complexes has a model structure, called the h-model structure or Hurewicz model structure, where the weak equivalences are the chain homotopy equivalences. The Dold--Kan correspondence induces a model structure on the category of simplicial modules. In this paper, we give a description of the two model categories and some of their properties, notably the fact that both are monoidal.

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Arnaud Ngopnang Ngompé. 2023-07-25. The Hurewicz model structure on simplicial $R$-modules. https://arxiv.org/abs/2307.13866

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