Gromov - Hausdorff Convergence and Topological Stability for Actions on Wasserstein Hyperspaces

Abstract

In this paper, we make use of topological stability from Gromov – Hausdorff view point to establish the Gromov – Hausdorff convergence and stability of induced actions on Wasserstein hyperspaces between maps.

Keywords

• topological stability; Hausdorff convergence; Hausdorff distance; Wasserstein distance; Metric Measure space