Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reedy Model Structures in Families   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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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci