On the Reconstruction of Geodesic Subspaces of ${\mathbb{R}}^N$

Brittany Terese Fasy, Rafal Komendarczyk, Sushovan Majhi +1

We consider the topological and geometric reconstruction of a geodesic subspace of ${\mathbb{R}}^N$ both from the Čech and Vietoris-Rips filtrations on a finite, Hausdorff-close, Euc…