Stepanov theorem for mappings between metric spaces
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908665931366400 |
|---|---|
| author | Caamaño, Iván |
| author_facet | Caamaño, Iván |
| contents | For Lipschitz maps between a metric measure space and a metric space, combining the ideas of Kirchheim's metric differentiability and Cheeger's differentiable structures leads to a Rademacher-type theorem for a notion of metric differentiability with respect to a rectifiable chart, and in this paper we prove the validity of a Stepanov-type generalization of such result under the same assumptions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15907 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stepanov theorem for mappings between metric spaces Caamaño, Iván Metric Geometry 30L05, 30L99, 51F30 For Lipschitz maps between a metric measure space and a metric space, combining the ideas of Kirchheim's metric differentiability and Cheeger's differentiable structures leads to a Rademacher-type theorem for a notion of metric differentiability with respect to a rectifiable chart, and in this paper we prove the validity of a Stepanov-type generalization of such result under the same assumptions. |
| title | Stepanov theorem for mappings between metric spaces |
| topic | Metric Geometry 30L05, 30L99, 51F30 |
| url | https://arxiv.org/abs/2511.15907 |