ABSTRACT
A polyhedral product is a natural topological subspace of a Cartesian product, determined by a simplicial complex K and a family of pointed pairs of spaces (X i , A i ), one for each vertex of K. As noted in [126], in the special case that A i is a basepoint for X i , the polyhedral product mediates between the product X 1 × X 2 × · · · × X m when K is the full (m − 1)-simplex, and the wedge X 1∨X 2∨ · · · ∨X m when K consists of m discrete points.
