Pseudotangents to Lipschitz curves
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915615911968768 |
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| author | Shaw, Eve |
| author_facet | Shaw, Eve |
| contents | In this paper, we extend the result of arXiv:2409.13662 by showing that the set on which every pseudotangent is obtained on a Lipschitz curve can be any compact, uniformly disconnected set in Euclidean space which admits any Lipschitz capture. We do not obtain a characterization of such sets however, indeed we leave open the very strong question of whether or not a Lipschitz curve can obtain every pseudotangent at every point. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10541 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pseudotangents to Lipschitz curves Shaw, Eve Metric Geometry 28A75 (Primary) 51F30, 53A04 (Secondary) In this paper, we extend the result of arXiv:2409.13662 by showing that the set on which every pseudotangent is obtained on a Lipschitz curve can be any compact, uniformly disconnected set in Euclidean space which admits any Lipschitz capture. We do not obtain a characterization of such sets however, indeed we leave open the very strong question of whether or not a Lipschitz curve can obtain every pseudotangent at every point. |
| title | Pseudotangents to Lipschitz curves |
| topic | Metric Geometry 28A75 (Primary) 51F30, 53A04 (Secondary) |
| url | https://arxiv.org/abs/2511.10541 |