Loop spaces of polyhedral products associated with the polyhedral join product
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917200400482304 |
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| author | Eldridge, Briony |
| author_facet | Eldridge, Briony |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19676 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Loop spaces of polyhedral products associated with the polyhedral join product Eldridge, Briony Algebraic Topology 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. |
| title | Loop spaces of polyhedral products associated with the polyhedral join product |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2410.19676 |