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arXiv · 1609.09623

Reedy diagrams in symmetric monoidal model categories

Moncef Ghazel·Fethi Kadhi
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Abstract

Given a small category $I$ and a closed symmetric monoidal category $\mm$, we show that the diagram category $\mm^I$ with the objectwise product is a closed symmetric monoidal category. We then prove that if $I$ is a Reedy category and $\mm$ has a model structure compatible with its product, then so is the Reedy model structure on $\mm^I$ provided that $\mm$ is cofibrantly generated.

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Moncef Ghazel, Fethi Kadhi. 2016-09-30. Reedy diagrams in symmetric monoidal model categories. https://arxiv.org/abs/1609.09623

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