Abstract:
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 $(S^{n_{i}},\ast)$ where the $S^{n_{i}}$'s are simply-connected spheres, information is deduced about the growth of the rationaland torsion homotopy groups.
Citation:
S. Theriault, “Stellar subdivision and polyhedral products”, Topology, Geometry, Combinatorics, and Mathematical Physics, Collected papers. Dedicated to Victor Matveevich Buchstaber on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 326, Steklov Math. Inst., Moscow, 2024, 314–329