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
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)
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.
Text
weighted_revised
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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
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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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