The higher topological complexity of subcomplexes of products of spheres---and related polyhedral product spaces

Jesús González, Bárbara Gutiérrez, Sergey Yuzvinsky

We construct "higher" motion planners for automated systems whose space of states are homotopy equivalent to a polyhedral product space $Z(K,\{(S^{k_i},\star )\})$, e.g. robot arms…