<p>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.</p>

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Weighted polyhedral products and Steenrod’s problem

  • Tseleung So,
  • Donald Stanley,
  • Stephen Theriault

摘要

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.