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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.03651 |
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| _version_ | 1866909450460200960 |
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| author | Petrov, Evgeniy A. Salimov, Ruslan R. |
| author_facet | Petrov, Evgeniy A. Salimov, Ruslan R. |
| contents | Considering quasisymmetric mappings between b-metric spaces we have found a new estimation for the ratio of diameters of two subsets which are images of two bounded subsets. This result generalizes the well-known Tukia-Väisälä inequality. The condition under which the image of a b-metric space under quasisymmetry is also a b-metric space is established. Moreover, the latter question is investigated for additive metric spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03651 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasisymmetric mappings in b-metric spaces Petrov, Evgeniy A. Salimov, Ruslan R. General Topology 54E40, 54E25 Considering quasisymmetric mappings between b-metric spaces we have found a new estimation for the ratio of diameters of two subsets which are images of two bounded subsets. This result generalizes the well-known Tukia-Väisälä inequality. The condition under which the image of a b-metric space under quasisymmetry is also a b-metric space is established. Moreover, the latter question is investigated for additive metric spaces. |
| title | Quasisymmetric mappings in b-metric spaces |
| topic | General Topology 54E40, 54E25 |
| url | https://arxiv.org/abs/2501.03651 |