Tomoki Uda

collaborators

3 papers

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…

physics.flu-dyn2026

Topological flow data analysis for transient flow patterns: a graph-based approach

Takashi Sakajo, Takeshi Matsumoto, Shizuo Kaji +2

We introduce a method of time series analysis for two-dimensional transient flow patterns based on Topological Flow Data Analysis (TFDA), a new approach to topological data analysi…

Borelness of Moduli Spaces of Metrics Implies Separability

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

Topological flow data analysis for transient flow patterns: a graph-based approach

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