Coarsening polyhedral complexes
Coarsening polyhedral complexes
Given a pure, full-dimensional, locally strongly connected polyhedral complex $\mathcal {C}$, we characterize, by a local codimension-$2$ condition, polyhedral complexes that coarsen $\mathcal {C}$. The proof of the characterization draws upon a general shortcut for showing that a collection of polyhedra is a polyhedral complex and upon a property of …