Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quillen adjunctions induce adjunctions of quasicategories   We prove that a Quillen adjunction of model categories (of which we do not
require functorial factorizations and of which we only require finite
bicompleteness) induces a canonical adjunction of underlying quasicategories.

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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: cond-mat