Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized laminar families and certain forbidden matrices   Recall that in a laminar family, any two sets are either disjoint or
contained one in the other. Here, a parametrized weakening of this condition is
introduced. Let us say that a set system $\mathcal{F} \subseteq 2^X$ is
$t$-laminar if $A,B \in \mathcal{F}$ with $|A \cap B| \ge t$ implies $A
\subseteq B$ or $B \subseteq A$. We obtain very close asymptotic bounds in
terms of $n$ on the maximum size of a $2$-laminar family $\mathcal{F} \subseteq
2^{[n]}$. A construction for $3$-laminar families and a crude analysis for
general $t$ are also given.

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The categories of this paper are: hep-ph
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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: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
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The categories of this paper are: eess