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A counterexample regarding an equivalence relation on a product space

Assaf Shani

Abstract

We present a counterexample to Conjecture~14.1.6 from [Vladimir Kanovei, Borel equivalence relations], regarding Borel equivalence relations on product spaces.

A counterexample regarding an equivalence relation on a product space

Abstract

We present a counterexample to Conjecture~14.1.6 from [Vladimir Kanovei, Borel equivalence relations], regarding Borel equivalence relations on product spaces.
Paper Structure (1 theorem, 13 equations)

This paper contains 1 theorem, 13 equations.

Key Result

Theorem 6

The equivalence relations $E, F, G$ provide a counterexample to Conjecture conj: kanovei-zapletal.

Theorems & Definitions (7)

  • Conjecture 1: Conjecture 14.1.6 in Kano08
  • Definition 2: Friedman-Stanley FS89
  • Remark 4
  • Claim 5
  • proof
  • Theorem 6
  • Remark 7