Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.12814 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916129031585792 |
|---|---|
| author | Stanton, Lewis |
| author_facet | Stanton, Lewis |
| contents | We prove that the loop space of the moment-angle complex associated to the $k$-skeleton of a flag complex belongs to the class $\mathcal{P}$ of spaces homotopy equivalent to a finite type product of spheres and loops on simply connected spheres. To do this, a general result showing $\mathcal{P}$ is closed under retracts is proved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_12814 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Loop space decompositions of moment-angle complexes associated to flag complexes Stanton, Lewis Algebraic Topology 55P15, 55P35 We prove that the loop space of the moment-angle complex associated to the $k$-skeleton of a flag complex belongs to the class $\mathcal{P}$ of spaces homotopy equivalent to a finite type product of spheres and loops on simply connected spheres. To do this, a general result showing $\mathcal{P}$ is closed under retracts is proved. |
| title | Loop space decompositions of moment-angle complexes associated to flag complexes |
| topic | Algebraic Topology 55P15, 55P35 |
| url | https://arxiv.org/abs/2306.12814 |