on chain complexes/model structure on cosimplicial abelian groups
related by the Dold-Kan correspondence
The notion of enriched Reedy category is a combination of that of Reedy category and enriched category.
The main motivation for studying Reedy categories is that they induce Reedy model structures on functor categories.
The motivation for studying enriched Reedy categories is that they induced enriched Reedy model structures on enriched functor categories.
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Let $\mathcal{V}$ be a monoidal model category. Let $\mathcal{A}$ be a $\mathcal{V}$-enriched Reedy category and let $\mathcal{E}$ be a $\mathcal{V}$-enriched model category. Write $[\mathcal{A}, \mathcal{C}]$ for the enriched functor category.
The enriched Reedy model structure on $[\mathcal{A}, \mathcal{C}]$ exists and is a $\mathcal{V}$-enriched model category.
Enriched Reedy categories were introduced in
The defintion is def. 4.1 there.
Last revised on March 28, 2012 at 04:58:07. See the history of this page for a list of all contributions to it.