Gromov-Hausdorff stability for group actions
نویسندگان
چکیده
We will extend the topological Gromov-Hausdorff stability [ 2 ] from homeomorphisms to finitely generated actions. prove that if an action is expansive and has shadowing property, then it topologically GH-stable. From this we derive examples of GH-stable actions discrete Heisenberg group on tori. Finally, GH-stability invariant under isometric conjugacy.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2021
ISSN: ['1553-5231', '1078-0947']
DOI: https://doi.org/10.3934/dcds.2020320