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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2512.16410 |
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| _version_ | 1866918254687027200 |
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| author | Macario, Sergio Sanchis, Manuel |
| author_facet | Macario, Sergio Sanchis, Manuel |
| contents | The authors introduced in a previous paper the notion of fuzzy Gromov-Hausdorff distance between non-Archimedean compact fuzzy metric spaces, presenting a fuzzy version of the Gromov's completeness theorem. In this paper we present a fuzzy version of the Gromov's precompactness theorem which allows to deduce the classical theorem for compact metric spaces by means of the standard fuzzy metric associated to a metric space. This completes the previous work. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16410 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gromov-Hausdorff compactness theorem for non-Archimedean Fuzzy Metric Spaces Macario, Sergio Sanchis, Manuel General Topology The authors introduced in a previous paper the notion of fuzzy Gromov-Hausdorff distance between non-Archimedean compact fuzzy metric spaces, presenting a fuzzy version of the Gromov's completeness theorem. In this paper we present a fuzzy version of the Gromov's precompactness theorem which allows to deduce the classical theorem for compact metric spaces by means of the standard fuzzy metric associated to a metric space. This completes the previous work. |
| title | Gromov-Hausdorff compactness theorem for non-Archimedean Fuzzy Metric Spaces |
| topic | General Topology |
| url | https://arxiv.org/abs/2512.16410 |