Abstract
Abstract
Variational formulae for the Gromov–Hausdorff distances of compact metric spaces and their continuous maps are obtained. Also, a notion of µ-topological GH-stability on metric-measure spaces with probability µ is given. We prove that every expansive map with the weak µ-shadowing property (Lee and Rojas 2022 Russ. J. Nonlinear Dyn.
18 297–307) is µ-topologically GH-stable.
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
National Research Foundation, Republic of Korea.
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