2 problems

Let $P$ be a Gorenstein poset, meaning an Eulerian poset that is Cohen–Macaulay, and let $T(P)$ denote its Tchebyshev transform. Gorenstein transform conjecture. If $P$ is Gorenste…

Let $P$ be a poset that is spherical and shellable, and let $T(P)$ denote its Tchebyshev transform. Spherical shellability conjecture. If $P$ is spherical and shellable, then…