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

Vladimir Kanovei
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Abstract

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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BibTeXRIS

Vladimir Kanovei. 1995-08-02. On a Glimm -- Effros dichotomy theorem for Souslin relations in generic universes. https://doi.org/10.1002/malq.19980440302

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