Cube Height, Cube Width and Related Extremal Problems for Posets

Paul Bastide, Jędrzej Hodor, Hoang La +1

Given a poset $P$, a family $\mathcal{S}=\{S_x:x\in P\}$ of sets indexed by the elements of $P$ is called an inclusion representation of $P$ if $x⩽y$ in $P$ if and only if…