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arXiv · 2410.19676

Loop spaces of polyhedral products associated with the polyhedral join product

Briony Eldridge
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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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Briony Eldridge. 2024-10-25. Loop spaces of polyhedral products associated with the polyhedral join product. https://doi.org/10.1017/s0013091525101223

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