3 problems

Linear-dimension strengthening. The multicoloured geometric Erdős–Hajnal conjecture and the geometric Erdős–Hajnal conjecture for induced restrictions should both hold with…

Geometric Erdős–Hajnal conjecture. For every prime power $q$ and all $k\in\mathbb N$ and $H\subseteq\operatorname{PG}(k-1,q)$, there exist $\delta,C>0$ such that, for all…

Projective-geometry embedding conjecture. Every clean tangled clutter embeds a projective geometry over the two-element field.