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Loop spaces of polyhedral products associated with the polyhedral join product

Loop spaces of polyhedral products associated with the polyhedral join product
Loop spaces of polyhedral products associated with the polyhedral join product
We give a homotopy equivalence for the loop space of the moment-angle complex associated with a simplicial complex formed by the polyhedral join operation, and give necessary conditions for this loop space to be a finite type product of spheres and loops on spheres.
math.AT
arXiv
Eldridge, Briony
e2ba1570-d577-4e31-968a-15b56365ea73
Eldridge, Briony
e2ba1570-d577-4e31-968a-15b56365ea73

[Unknown type: UNSPECIFIED]

Record type: UNSPECIFIED

Abstract

We give a homotopy equivalence for the loop space of the moment-angle complex associated with a simplicial complex formed by the polyhedral join operation, and give necessary conditions for this loop space to be a finite type product of spheres and loops on spheres.

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2410.19676v1 - Author's Original
Available under License Other.
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Submitted date: 25 October 2024
Keywords: math.AT
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Identifiers

Local EPrints ID: 495904
URI: http://eprints.soton.ac.uk/id/eprint/495904
DOI: doi:10.48550/arXiv.2410.19676
PURE UUID: f7d66fea-a3ec-41b4-860c-7fe01574bdf9

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Date deposited: 27 Nov 2024 17:34
Last modified: 27 Nov 2024 17:34

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Author: Briony Eldridge

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