Matthew Cordes, Heriot-Watt University, Edinburgh, Scotland, United Kingdom, and The University of Edinburgh, Scotland, United Kingdom, Tobias Hartnick, Karlsruhe Institute of Technology, Germany, and Vera Tonic, University of Rijeka, Croatia
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Description
Chapters 1. Introduction 2. Basic constructions of approximate groups 3. Large-scale geometry of approximate groups 4. Geometric quasi-actions of approximate groups 5. Hyperbolic approximate groups 6. Limit sets of quasi-isometric quasi-actions 7. Asymptotic dimension 8. Hyperbolic approximate groups revisited A. Background from large-scale geometry B. Some notions from geometric group theory C. Morse hyperbolic spaces and their Gromov boundaries D. Morse boundaries of proper geodesic metric spaces E. Consequences of Breuillard-Green-Tao theory (by S. Machado)