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arxiv: 1601.03477 · v1 · pith:2I64VRKSnew · submitted 2016-01-14 · 🧮 math.LO

A Groszek-Laver pair of undistinguishable E₀ classes

classification 🧮 math.LO
keywords classesmathsfdefinedextensiongenericgroszek-laverneitherordinal-definable
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A generic extension $L[x,y]$ of $L$ by reals $x,y$ is defined, in which the union of $\mathsf E_0$-classes of $x$ and $y$ is a $\Pi^1_2$ set, but neither of these two $\mathsf E_0$-classes is separately ordinal-definable.

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