Ivan N. Mikhailov

collaborators

3 papers

math.MG2026

Gromov-Hausdorff distance and Jung constant of finite-dimensional normed spaces

Henry Adams, Semeon A. Bogatyi, Florian Frick +5

For a finite-dimensional normed space $V$ and a subset $X$ with finite Hausdorff distance from $V$ , we prove that the Gromov--Hausdorff distance between $X$ and $V$ is at least the…

math.MG2025

Geodesic in the Gromov-Hausdorff class for which the real line is an interior point

Ivan N. Mikhailov

In this note we construct a geodesic line in the Gromov-Hausdorff class for which the real line with a natural metric is an interior point.

math.MG2025

Lipschitz distance between clouds

Ivan N. Mikhailov

In this note we show that the Lipschitz distance between the classes of metric spaces at finite Gromov-Hausdorff distances from the one-point metric space and the real line with th…