Extending Bilipschitz Mappings between Separated Nets
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918397514612736 |
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| author | Dymond, Michael Kaluža, Vojtěch |
| author_facet | Dymond, Michael Kaluža, Vojtěch |
| contents | We provide a new characterisation of the decades old open problem of extending bilipschitz mappings given on a Euclidean separated net. In particular, this allows for the complete positive solution of the open problem in dimension two. Along the way, we develop a set of tools for bilipschitz extensions of mappings between subsets of Euclidean spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_22007 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Extending Bilipschitz Mappings between Separated Nets Dymond, Michael Kaluža, Vojtěch Metric Geometry Functional Analysis 51F99, 51M05, 52C99, 26B35, 26B10 We provide a new characterisation of the decades old open problem of extending bilipschitz mappings given on a Euclidean separated net. In particular, this allows for the complete positive solution of the open problem in dimension two. Along the way, we develop a set of tools for bilipschitz extensions of mappings between subsets of Euclidean spaces. |
| title | Extending Bilipschitz Mappings between Separated Nets |
| topic | Metric Geometry Functional Analysis 51F99, 51M05, 52C99, 26B35, 26B10 |
| url | https://arxiv.org/abs/2507.22007 |