Loop space decompositions of highly symmetric spaces with applications to polyhedral products
Loop space decompositions of highly symmetric spaces with applications to polyhedral products
We generalise the fold map for the wedge sum and use this to give a loop space decomposition of topological spaces with a high degree of symmetry. This is applied to polyhedral products to give a loop space decomposition of polyhedral products associated to families of graphs.
Homotopy type, Loop space, Polyhedral product
Stanton, Lewis
bb6aed52-6a94-403f-a87e-5d7b7a6c8152
December 2023
Stanton, Lewis
bb6aed52-6a94-403f-a87e-5d7b7a6c8152
Stanton, Lewis
(2023)
Loop space decompositions of highly symmetric spaces with applications to polyhedral products.
European Journal of Mathematics, 9 (4), [104].
(doi:10.1007/s40879-023-00701-5).
Abstract
We generalise the fold map for the wedge sum and use this to give a loop space decomposition of topological spaces with a high degree of symmetry. This is applied to polyhedral products to give a loop space decomposition of polyhedral products associated to families of graphs.
Text
Loop_space_highly_symmetric_v8_Revised (6)
- Author's Original
Text
s40879-023-00701-5
- Version of Record
More information
Accepted/In Press date: 11 October 2023
e-pub ahead of print date: 30 October 2023
Published date: December 2023
Additional Information:
Funding Information:
The author would like to thank Stephen Theriault for his guidance and diligent proof reading during the preparation of this work.
Publisher Copyright:
© 2023, The Author(s).
Keywords:
Homotopy type, Loop space, Polyhedral product
Identifiers
Local EPrints ID: 483799
URI: http://eprints.soton.ac.uk/id/eprint/483799
ISSN: 2199-6768
PURE UUID: 34c8c628-eb60-4b45-8ee1-868f31179c72
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Date deposited: 06 Nov 2023 17:58
Last modified: 18 Mar 2024 04:07
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Author:
Lewis Stanton
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