3 papers
math.MG2026
Some novel constructions of optimal Gromov-Hausdorff-optimal correspondences between spheres
Saúl RodrÃguez MartÃn
In this article, as a first contribution, we provide alternative proofs of recent results by Harrison and Jeffs which determine the precise value of the Gromov-Hausdorff (GH) dista…
math.GR2025
An inverse of Furstenberg's correspondence principle and applications to van der Corput sets
Saúl RodrÃguez MartÃn
We obtain an inverse of Furstenberg's correspondence principle in the setting of countable cancellative, amenable semigroups. Besides being of intrinsic interest on its own, this r…
math.MG2024
Gromov-Hausdorff distances from simply connected geodesic spaces to the circle
Saúl RodrÃguez MartÃn
We prove that the Gromov-Hausdorff distance from the circle with its geodesic metric to any simply connected geodesic space is never smaller than . We also prove that t…