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arXiv · 2506.03080

Hypergraphs accumulate infinitely often

David Conlon·Bjarne Schülke
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Abstract

We show that the set $Π^{(k)}$ of Turán densities of $k$-uniform hypergraphs has infinitely many accumulation points in $[0,1)$ for every $k \geq 3$. This extends an earlier result of ours showing that $Π^{(k)}$ has at least one such accumulation point.

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David Conlon, Bjarne Schülke. 2025-06-03. Hypergraphs accumulate infinitely often. https://arxiv.org/abs/2506.03080

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