“School of Mathematics”
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| Paper IPM / M / 122 |
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| Abstract: | |
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We prove that if every real belongs to a set generic extension of L, then every ∑11 equivalence relation E on reals either admits a ∆1 reduction to the equality on the set 2 < ω1 of all
countable binary sequences, or the Vitali equivalence E0 continuously embeds in E. The proofs are based on a topology generated by OD sets.
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