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Weighted polyhedral products and Steenrod's problem

Weighted polyhedral products and Steenrod's problem
Weighted polyhedral products and Steenrod's problem
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.
polyhedral product, cohomology, Steenrod's problem
2197-9847
So, Tseleung
175505d4-3a13-4bb3-8f99-f24502cfcc2d
Stanley, Donald
3124e678-eef2-4f3b-9bd1-d4f00c0cfd1b
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80
So, Tseleung
175505d4-3a13-4bb3-8f99-f24502cfcc2d
Stanley, Donald
3124e678-eef2-4f3b-9bd1-d4f00c0cfd1b
Theriault, Stephen
5e442ce4-8941-41b3-95f1-5e7562fdef80

So, Tseleung, Stanley, Donald and Theriault, Stephen (2025) Weighted polyhedral products and Steenrod's problem. Research in the Mathematical Sciences. (In Press)

Record type: Article

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.

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weighted_revised - Accepted Manuscript
Restricted to Repository staff only until 9 May 2026.
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More information

Accepted/In Press date: 9 May 2025
Keywords: polyhedral product, cohomology, Steenrod's problem

Identifiers

Local EPrints ID: 502123
URI: http://eprints.soton.ac.uk/id/eprint/502123
ISSN: 2197-9847
PURE UUID: c514e4de-def1-47b4-91c4-5be7f41268d1
ORCID for Stephen Theriault: ORCID iD orcid.org/0000-0002-7729-5527

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Date deposited: 17 Jun 2025 16:34
Last modified: 18 Jun 2025 01:46

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Contributors

Author: Tseleung So
Author: Donald Stanley

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