Lower bounds on geometric Ramsey functions

Marek Eliáš, Jiří Matoušek, Edgardo Roldán-Pensado +1

We continue a sequence of recent works studying Ramsey functions for semialgebraic predicates in ${\mathbb{R}}^d$. A $k$-ary semialgebraic predicate $\Phi (x_1,\dots ,x_k)$ on $\mathbb{R…