Relations among higher Whitehead maps
Jelena Grbić, George M. Simmons, Matthew Staniforth · Advances in Mathematics · 2026
We define generalised higher Whitehead maps between polyhedral products. By investigating the interplay between the homotopy-theoretic properties of polyhedral products and the combinatorial properties of simplicial complexes, we describe new families of relations among these maps, while recovering and generalising known identities among Whitehead products.