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

Burak Kaya

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arXiv · 1706.09821

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

Burak Kaya

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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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Burak Kaya. 2017-06-29. On the complexity of topological conjugacy of compact metrizable $G$-ambits. https://arxiv.org/abs/1706.09821

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