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arxiv: 1803.00681 · v2 · pith:WFAH3R7Onew · submitted 2018-03-02 · 🧮 math.CT · math.AG· math.AT

Reedy Model Structures in Families

Edouard Balzin This is my paper
classification 🧮 math.CT math.AGmath.AT
keywords modelcategoryreedyfamilysectionsstructureassociatedcategories
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Given a family of model categories $\cal E \to \cal R$ over a Reedy category, we outline a set of conditions which lead to the existence of a Reedy model structure on the category of sections ${\sf Sect}(\cal R, \cal E)$. We prove that for a wide class of examples, this model structure serves as a strictification of the $(\infty,1)$-category of sections of the higher-categorical family associated to $\cal E \to \cal R$.

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