An Isometric Embedding of the $\ell^\infty$ product space of two bounded subspaces of the Gromov-Hausdorff Space into the Gromov-Hausdorff Space
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866929734039896064 |
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| author | Byakuno, Takuma |
| author_facet | Byakuno, Takuma |
| contents | In this paper, we prove the $\ell^\infty$ product space of two bounded subspaces of the Gromov-Hausdorff space can be isometrically embedded into the Gromov-Hausdorff space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19746 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An Isometric Embedding of the $\ell^\infty$ product space of two bounded subspaces of the Gromov-Hausdorff Space into the Gromov-Hausdorff Space Byakuno, Takuma Metric Geometry General Topology 30L05, 54E35, 53C23 In this paper, we prove the $\ell^\infty$ product space of two bounded subspaces of the Gromov-Hausdorff space can be isometrically embedded into the Gromov-Hausdorff space. |
| title | An Isometric Embedding of the $\ell^\infty$ product space of two bounded subspaces of the Gromov-Hausdorff Space into the Gromov-Hausdorff Space |
| topic | Metric Geometry General Topology 30L05, 54E35, 53C23 |
| url | https://arxiv.org/abs/2502.19746 |