Stellar Subdivision and Polyhedral Products

We consider the homotopy theory of polyhedral products arising from the operation of stellar subdivision on simplicial complexes. In the special case of polyhedral products formed from pairs \((S^{n_i},*)\) where the \(S^{n_i}\) ’s are simply connected spheres, information is deduced about the growth of the rational and torsion homotopy groups.