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arxiv: 1408.6642 · v1 · pith:JXJNTJL7new · submitted 2014-08-28 · 🧮 math.LO

A definable mathsf E₀-class containing no definable elements

classification 🧮 math.LO
keywords classcontainingdefinablemathsfdefinedelementsextensiongeneric
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A generic extension $L[x]$ of $L$ by a real $x$ is defined, in which the $\mathsf E_0$-class of $x$ is a lightface $\Pi^1_2$ set containing no ordinal-definable reals.

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