On a Glimm -- Effros dichotomy theorem for Souslin relations in generic universes

Details On a Glimm -- Effros dichotomy theorem for Souslin relations in generic universes On a Glimm -- Effros dichotomy theorem for Souslin relations in generic universes

1995-08-02

arxiv.org/abs/math/9508204v1

Mathematics

Logic

Scientific paper

We prove that if every real belongs to a set generic extension of the
constructible universe then every \Sigma_1^1 equivalence E on reals either
admits a Delta_1^HC reduction to the equality on the set 2^{<\om_1} of all
countable binary sequences, or continuously embeds E_0, the Vitali equivalence.
The proofs are based on a topology generated by OD sets.

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