
arXiv: 2006.08277
We show that Li–Yorke chaos ensures the existence of a scrambled Cantor set.
101027 Dynamical systems, Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), 101027 Dynamische Systeme, asymptotic points, chaos, 101013 Mathematische Logik, Proximal, Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets, asymptotic, Mathematics - Logic, Dynamical Systems (math.DS), 03E15, 28A05, 37B05, 101013 Mathematical logic, proximal, Li-Yorke, FOS: Mathematics, Asymptotic, Chaos, proximal points, Mathematics - Dynamical Systems, Logic (math.LO), Descriptive set theory
101027 Dynamical systems, Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.), 101027 Dynamische Systeme, asymptotic points, chaos, 101013 Mathematische Logik, Proximal, Classes of sets (Borel fields, \(\sigma\)-rings, etc.), measurable sets, Suslin sets, analytic sets, asymptotic, Mathematics - Logic, Dynamical Systems (math.DS), 03E15, 28A05, 37B05, 101013 Mathematical logic, proximal, Li-Yorke, FOS: Mathematics, Asymptotic, Chaos, proximal points, Mathematics - Dynamical Systems, Logic (math.LO), Descriptive set theory
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