Isomorphism of pointed minimal systems is not classifiable by countable structures

2024/01/20 by Li, Ruiwen, Peng, Bo
#03E15 #37B02 #Dynamical Systems (math.DS) #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.2401.11310

Abstract

We prove that the topological conjugacy relations both for minimal systems and pointed minimal systems are not Borel-reducible to any Borel S_∞-action.

Related

• Characterizing Borel Isomorphism Among Some Weakly Minimal Trivial Theories
• Classification of one dimensional dynamical systems by countable structures
• Necessary and sufficient conditions for a dynamical system to be\n topologically conjugate to a given substitution minimal system
• Topological isomorphism for rank-1 systems
• Continuous logic and Borel equivalence relations