Reedy Model Structures in Families

Edouard Balzin

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arXiv · 1803.00681

Reedy Model Structures in Families

Edouard Balzin

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Abstract

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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Edouard Balzin. 2018-03-02. Reedy Model Structures in Families. https://arxiv.org/abs/1803.00681

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