3 problems

For each $n$, consider the set of unlabelled isomorphism classes of trees with $n$ nodes. For a tree $T$, let $\mathcal{B}(T)$ be its graphical building set and let…

For a finite undirected graph $G$, let $\mathsf{B}$ be the graphical pointed building set of $G$, and let $\operatorname{Bicl}(\mathsf{B})$ denote the subposet of biclosed ornament…

Let $M$ be the ambient manifold, let $\mathcal{G}$ be a building set, and let $\mathcal{W}=\{\mathcal{W}_G\}_{G\in\mathcal{G}}$ be the trivial weighting over $\mathcal{G}$. Write…