A sequence of compact metric spaces and an isometric embedding into the Gromov-Hausdorff space
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866915436455526400 |
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| author | Byakuno, Takuma |
| author_facet | Byakuno, Takuma |
| contents | For a convergent series with positive terms, we prove that the $\ell^\infty$ product space of bounded subspaces of the Gromov-Hausdorff space can be isometrically embedded into the Gromov-Hausdorff space, where each subspace consists of compact metric spaces with the diameter less than or equal to the term. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07449 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A sequence of compact metric spaces and an isometric embedding into the Gromov-Hausdorff space Byakuno, Takuma Metric Geometry General Topology 30L05, 54E35, 53C23 For a convergent series with positive terms, we prove that the $\ell^\infty$ product space of bounded subspaces of the Gromov-Hausdorff space can be isometrically embedded into the Gromov-Hausdorff space, where each subspace consists of compact metric spaces with the diameter less than or equal to the term. |
| title | A sequence of compact metric spaces and an isometric embedding into the Gromov-Hausdorff space |
| topic | Metric Geometry General Topology 30L05, 54E35, 53C23 |
| url | https://arxiv.org/abs/2507.07449 |