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The Borel Ramsey properties for countable Borel equivalence relations

Published 26 Jan 2024 in math.LO and math.CO | (2401.14605v2)

Abstract: We define some natural notions of strong and weak Borel Ramsey properties for countable Borel equivalence relations and show that they hold for a countable Borel equivalence relation if and only if the equivalence relation is smooth. We also consider some variation of the notion for hyperfinite non-smooth Borel equivalence relations.

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Authors (2)

  1. Su Gao 
  2. Ming Xiao 

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