The G-Gromov-Hausdorff Distance and Equivariant Topology
Fuente:
arXiv
Salvato in:
| Autori principali: | , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866917226209083392 |
|---|---|
| author | Lim, Sunhyuk Memoli, Facundo |
| author_facet | Lim, Sunhyuk Memoli, Facundo |
| contents | For each arbitrary finite group $G$, we consider a suitable notion of Gromov Hausdorff distance between compact $G$ metric spaces and derive lower bounds based on equivariant topology methods. As applications, we prove equivariant rigidity and finiteness theorems, and obtain sharp bounds on the Gromov Hausdorff distance between spheres. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_15414 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The G-Gromov-Hausdorff Distance and Equivariant Topology Lim, Sunhyuk Memoli, Facundo Metric Geometry Algebraic Topology Geometric Topology 53C23 (Primary) 49Q22, 55N31 (Secondary) For each arbitrary finite group $G$, we consider a suitable notion of Gromov Hausdorff distance between compact $G$ metric spaces and derive lower bounds based on equivariant topology methods. As applications, we prove equivariant rigidity and finiteness theorems, and obtain sharp bounds on the Gromov Hausdorff distance between spheres. |
| title | The G-Gromov-Hausdorff Distance and Equivariant Topology |
| topic | Metric Geometry Algebraic Topology Geometric Topology 53C23 (Primary) 49Q22, 55N31 (Secondary) |
| url | https://arxiv.org/abs/2506.15414 |