P. Schott

collaborators

2 papers

math.MG2026

A converse bound for dGH vs. dH for Euclidean space and Riemannian manifolds

Paul Schott

We prove for the Euclidean space $(R^{n}, ∥. ∥_{2})$ the existence of subsets $A^{n} \subseteq R^{n}$ with $d_{H} (R^{n}, A^{n})$ arbitrarily small, such th…

math.MG2026

Guaranteeing Hausdorff-Gromov-Hausdorff Equality for Metric Graphs

Paul Schott

We prove the equality of Hausdorff and Gromov-Hausdorff distance $d_{G H} (G, U) = d_{H} (G, U)$ for a metric graph $G$ and a subset $U \subseteq G$ , given that the Hausdorff distance…