English

Weighted polyhedral products and Steenrod's problem

Algebraic Topology 2025-06-03 v2

Abstract

We construct a weighted version of polyhedral products and compute its cohomology in special cases. This is applied to resolve Steenrod's cohomology realization problem in a case related to products of spheres.

Keywords

Cite

@article{arxiv.2306.01956,
  title  = {Weighted polyhedral products and Steenrod's problem},
  author = {Tseleung So and Donald Stanley and Stephen Theriault},
  journal= {arXiv preprint arXiv:2306.01956},
  year   = {2025}
}

Comments

48 pages; accepted by Research in the Mathematical Sciences

R2 v1 2026-06-28T10:55:14.845Z