Corpus ID: 209452947

Realizations of countable Borel equivalence relations

  title={Realizations of countable Borel equivalence relations},
  author={Joshua Frisch and Alexander S. Kechris and Forte Shinko and Zolt'an Vidny'anszky},
We study topological realizations of countable Borel equivalence relations, including realizations by continuous actions of countable groups, with additional desirable properties. Some examples include minimal realizations on any perfect Polish space, realizations as Kσ relations, and realizations by continuous actions on the Baire space. We also consider questions related to realizations of specific important equivalence relations, like Turing and arithmetical equivalence. We focus in… Expand
2 Citations
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  • R. Chen
  • Mathematics
  • Ergodic Theory and Dynamical Systems
  • 2020
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