Tomoki Uda

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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

On Ishiki's Conjecture: $Met (D)$ Is Not Completely Metrizable for $∣ D ∣ = ℵ_{1}$

Tomoki Uda

For a discrete topological space $D$ , let $Met (D)$ denote the set of metrics on $D$ that are compatible with the discrete topology, equipped with the topology induced by t…

Borelness of Moduli Spaces of Metrics Implies Separability

On Ishiki's Conjecture: Met(D) Is Not Completely Metrizable for ∣D∣=ℵ1​

On Ishiki's Conjecture: $Met (D)$ Is Not Completely Metrizable for $∣ D ∣ = ℵ_{1}$