On the complexity of topological conjugacy of compact metrizable G-ambits

2017/06/29 by Kaya, Burak
#03E15 #37B05 #Dynamical Systems (math.DS) #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1706.09821

Abstract

In this note, we analyze the classification problem for compact metrizable G-ambits for a countable discrete group G from the point of view of descriptive set theory. More precisely, we prove that the topological conjugacy relation on the standard Borel space of compact metrizable G-ambits is Borel for every countable discrete group G.

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