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math.LO2026
Finite-index extensions of essentially free countable Borel equivalence relations
Jason Zesheng Chen
Kechris asked whether essential freeness of countable Borel equivalence relations is preserved under extensions of finite index. Kaya proved that every such extension of a relation…
math.LO2026
Equivalence of Random Generics Is Not Essentially Free
Jason Zesheng Chen
Let be a countable transitive model of a sufficiently large finite fragment of ZFC, and let be equivalence of random generics over . Smythe proved that $…
math.LO2026
Ideals, Well-Orderable Families, and Baire Category in Truss's Feferman-Type Model
Jason Zesheng Chen
Let assert that every well-orderable family of dense open subsets of a perfect Polish space has dense intersection, and let …