Loop spaces of polyhedral products associated with the polyhedral join product

Abstract We provide a homotopy equivalence for the loop space of the polyhedral product associated with a simplicial complex formed via the polyhedral join operation, and give sufficient conditions under which this loop space is a finite-type product of spheres and loops on spheres.

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Publication Details

Journal
Proceedings of the Edinburgh Mathematical Society
Published
2025-11-20
DOI
https://doi.org/10.1017/s0013091525101223
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

Loop spaces of polyhedral products associated with the polyhedral join product

Briony Eldridge
Proceedings of the Edinburgh Mathematical Society
Homotopy and Cohomology in Algebraic Topology
article

Loop spaces of polyhedral products associated with the polyhedral join product

Briony Eldridge
article en

Abstract

Abstract We provide a homotopy equivalence for the loop space of the polyhedral product associated with a simplicial complex formed via the polyhedral join operation, and give sufficient conditions under which this loop space is a finite-type product of spheres and loops on spheres.

Proceedings of the Edinburgh Mathematical Society
University of Southampton (GB)
Openalex Percentile: Top 58%
Homotopy and Cohomology in Algebraic Topology
DOIOpen Access PDFOpenAlex
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Loop spaces of polyhedral products associated with the polyhedral join product — Briony Eldridge · Proceedings of the Edinburgh Mathematical Society (2025) | TGRS Research Map | TGRS