No Infinite $(p,q)$-Theorem for Piercing Compact Convex Sets with Lines in ${\mathbb{R}}^3$

Sutanoya Chakraborty, Arijit Ghosh

An infinite $(p,q)$-theorem, or an $({\aleph }_0,q)$-theorem, involving two families $\mathcal{F}$ and $\mathcal{G}$ of sets, states that if in every infinite subset of $\mathcal{F}$,…