Gromov-Hausdorff distances, Borsuk-Ulam theorems, and Vietoris-Rips complexes

Henry Adams, Johnathan Bush, Nate Clause +13

We explore emerging relationships between the Gromov--Hausdorff distance, Borsuk--Ulam theorems, and Vietoris--Rips simplicial complexes. The Gromov--Hausdorff distance between two…