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We will extend the topological Gromov-Hausdorff stability [ 2 ] from homeomorphisms to finitely generated actions. We prove that if an action is expansive and has the shadowing property, then… Click to show full abstract
We will extend the topological Gromov-Hausdorff stability [ 2 ] from homeomorphisms to finitely generated actions. We prove that if an action is expansive and has the shadowing property, then it is topologically GH-stable. From this we derive examples of topologically GH-stable actions of the discrete Heisenberg group on tori. Finally, we prove that the topological GH-stability is an invariant under isometric conjugacy.
Keywords:
gromov hausdorff;
hausdorff stability;
stability group;
group actions;
stability
Journal Title: Discrete and Continuous Dynamical Systems
Year Published: 2021
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Journal Title: Discrete and Continuous Dynamical Systems
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!