3 problems

Very canonical point-Ramsey conjecture. For every Fraïssé class, the very canonical point-Ramsey property is equivalent to the finite sunflower property.

Canonical point-Ramsey conjecture. For every Fraïssé class, the canonical point-Ramsey property is equivalent to the finite sunflower property.

Higher-dimensional sunflower conjecture. For every infinite structure $\mathcal{M}$ and every $k,n\in\mathbb{N}^+$, $\mathcal{M}$ has the infinite $n$-sunflower property in dimensi…