Bi-Lipschitz embeddings revisited
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866912187413430272 |
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| author | Movahedi-Lankarani, H. Wells, R. |
| author_facet | Movahedi-Lankarani, H. Wells, R. |
| contents | Given a metric space (X, d), we continue our study of the distance function x\mapsto d(x,-) and its relation to bi-Lipschitz embeddings of (X, d) into R^N. As application, given a compact metric-measure space (X, d,μ), we give three sufficient conditions for the existence of such a bi-Lipschitz embedding. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07648 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Bi-Lipschitz embeddings revisited Movahedi-Lankarani, H. Wells, R. Metric Geometry General Topology Given a metric space (X, d), we continue our study of the distance function x\mapsto d(x,-) and its relation to bi-Lipschitz embeddings of (X, d) into R^N. As application, given a compact metric-measure space (X, d,μ), we give three sufficient conditions for the existence of such a bi-Lipschitz embedding. |
| title | Bi-Lipschitz embeddings revisited |
| topic | Metric Geometry General Topology |
| url | https://arxiv.org/abs/2501.07648 |