Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enriched model categories and presheaf categories   We collect in one place a variety of known and folklore results in enriched
model category theory and add a few new twists. The central theme is a general
procedure for constructing a Quillen adjunction, often a Quillen equivalence,
between a given V-model category and a category of enriched presheaves in V,
where V is any good enriching category. For example, we rederive the result of
Schwede and Shipley that reasonable stable model categories are Quillen
equivalent to presheaf categories of spectra (alias categories of module
spectra) under more general hypotheses. The technical improvements and
modifications of general model categorical results given here are applied to
equivariant contexts in a pair of sequels, where we indicate various directions
of application.

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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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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: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex