3 problems

Adjoining-a-maximum conjecture. The quantity ${\rm sat}^*(n,P)$ is bounded as a function of $n$ if and only if ${\rm sat}^*(n,\dot P)$ is bounded as a function of $n$.

Induced saturation dichotomy conjecture. Either there exists a constant $K_P$ such that

Induced forbidden subposet density conjecture. The limit