Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Categoricity and Universal Classes   Let $(\mathcal{K} ,\subseteq )$ be a universal class with
$LS(\mathcal{K})=\lambda$ categorical in regular $\kappa >\lambda^+$ with
arbitrarily large models, and let $\mathcal{K}^*$ be the class of all
$\mathcal{A}\in\mathcal{K}_{>\lambda}$ for which there is $\mathcal{B} \in
\mathcal{K}_{\ge\kappa}$ such that $\mathcal{A}\subseteq\mathcal{B}$. We prove
that $\mathcal{K}^*$ is categorical in every $\xi >\lambda^+$,
$\mathcal{K}_{\ge\beth_{(2^{\lambda^+})^+}} \subseteq \mathcal{K}^{*}$, and the
models of $\mathcal{K}^*_{>\lambda^+}$ are essentially vector spaces (or
trivial i.e. disintegrated).

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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
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The categories of this paper are: eess
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom