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arXiv · 2512.16410

Gromov-Hausdorff compactness theorem for non-Archimedean Fuzzy Metric Spaces

Sergio Macario·Manuel Sanchis
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Abstract

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.

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BibTeXRIS

Sergio Macario, Manuel Sanchis. 2025-12-18. Gromov-Hausdorff compactness theorem for non-Archimedean Fuzzy Metric Spaces. https://doi.org/10.1016/j.fss.2025.109630

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