Gromov-Hausdorff convergence of metric pairs and metric tuples
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917948815310848 |
|---|---|
| author | Gómez, Andrés Ahumada Che, Mauricio |
| author_facet | Gómez, Andrés Ahumada Che, Mauricio |
| contents | We study the Gromov-Hausdorff convergence of metric pairs and metric tuples and prove the equivalence of different natural definitions of this concept. We also prove embedding, completeness and compactness theorems in this setting. Finally, we get a relative version of Fukaya's theorem about quotient spaces under Gromov--Hausdorff equivariant convergence and a version of Grove-Petersen--Wu's finiteness theorem for stratified spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_04510 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Gromov-Hausdorff convergence of metric pairs and metric tuples Gómez, Andrés Ahumada Che, Mauricio Metric Geometry Algebraic Topology Differential Geometry 53C23 (Primary), 53C20 (Secondary) We study the Gromov-Hausdorff convergence of metric pairs and metric tuples and prove the equivalence of different natural definitions of this concept. We also prove embedding, completeness and compactness theorems in this setting. Finally, we get a relative version of Fukaya's theorem about quotient spaces under Gromov--Hausdorff equivariant convergence and a version of Grove-Petersen--Wu's finiteness theorem for stratified spaces. |
| title | Gromov-Hausdorff convergence of metric pairs and metric tuples |
| topic | Metric Geometry Algebraic Topology Differential Geometry 53C23 (Primary), 53C20 (Secondary) |
| url | https://arxiv.org/abs/2308.04510 |