Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal abstract elementary classes and locally multipresentable
  categories   We exhibit an equivalence between the model-theoretic framework of universal
classes and the category-theoretic framework of locally multipresentable
categories. We similarly give an equivalence between abstract elementary
classes (AECs) admitting intersections and locally polypresentable categories.
We use these results to shed light on Shelah's presentation theorem for AECs.

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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: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
1
The categories of this paper are: cs
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex