Simplicial shellable spheres via combinatorial blowups
Simplicial shellable spheres via combinatorial blowups
The construction of the Bier sphere $\textrm {Bier}(K)$ for a simplicial complex $K$ is due to Bier (1992). Björner, Paffenholz, Sjöstrand and Ziegler (2005) generalize this construction to obtain a Bier poset $\textrm {Bier}(P,I)$ from any bounded poset $P$ and any proper ideal $I\subseteq P$. They show shellability of $\textrm …