J. Chen

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math.LO2026

Finite-index extensions of essentially free countable Borel equivalence relations

Jason Zesheng Chen

We show that finite-index extensions of essentially free countable Borel equivalence relations are essentially free, answering a question of Kechris.

math.LO2026

Equivalence of Random Generics Is Not Essentially Free

Jason Zesheng Chen

Let $M$ be a countable transitive model of a sufficiently large finite fragment of ZFC, and let $E_{M}^{B}$ be equivalence of random generics over $M$ . Smythe proved that $…

math.LO2026

Ideals, Well-Orderable Families, and Baire Category in Truss's Feferman-Type Model

Jason Zesheng Chen

Let $BCT_{WO}$ assert that every well-orderable family of dense open subsets of a perfect Polish space has dense intersection, and let $RS_{WO}$ …