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20172026
most citedAn embedding, an extension, and an interpolation of ultrametrics

4 citations · 24 across the 23 of their papers we have counts for

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math.GN2026

Borelness of Moduli Spaces of Metrics Implies Separability

Yoshito Ishiki, Tomoki Uda

Let X be a metrizable space, and let Met(X) denote the space of metrics compatible with the topology of X, regarded as a subspace of the space of continuous pseudometrics with the…

math.GN2026

Absolute Borel Complexity of Moduli Spaces of Ultrametrics

Yoshito Ishiki

Let be an ultrametrizable space. We study the space of bounded compatible ultrametrics on , equipped with its natural non-Archimedean distance. For every positive integer le…

math.GN2022★ 1 cited

A factorization of metric spaces

Yoshito Ishiki

We first prove that for every metrizable space , for every closed subset whose complement is zero-dimensional, the space can be embedded into a product space of the clos…