Σ12-sets of reals

Journal of Symbolic Logic 53 (2):636 - 642 (1988)
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Abstract

We prove that the only implications between four notions for Σ 1 2 -sets of reals are $\Sigma^1_2-\text{measurability} \Rightarrow \Sigma^1_2-\text{categoricity} \big\downarrow \Sigma^1_2-\text{Ramsey} \Rightarrow \Sigma^1_2-K_\sigma-\text{regular}$

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Polarized partitions on the second level of the projective hierarchy.Jörg Brendle & Yurii Khomskii - 2012 - Annals of Pure and Applied Logic 163 (9):1345-1357.

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