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Advanced Topology and Set TheoryMathematical Dynamics and FractalsAdvanced Operator Algebra Research

Isomorphism of pointed minimal systems is not classifiable by countable structures

Ruiwen Li, Bo Peng

2026.1.9Journal of Mathematical Logic

DOI: 10.1142/s0219061326500017

Abstract

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

Citation format

LI, Ruiwen; PENG, Bo. Isomorphism of pointed minimal systems is not classifiable by countable structures. Journal of Mathematical Logic, 2026.