Takamitsu Yamauchi

Topological dimension of the Gromov–Hausdorff and Gromov–Prokhorov spaces

The Gromov–Hausdorff distance is a dissimilarity metric capturing how far two spaces are from being isometric. The Gromov–Prokhorov distance is a similar notion for metric measure spaces. In this paper, we study the topological dimension of subspaces of the Gromov–Hausdorff and G...