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On a Spector ultrapower of the Solovay model

Vladimir Kanovei·Michiel van Lambalgen
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Abstract

We prove that a Spector--like ultrapower extension $\gN$ of a countable Solovay model $\gM$ (where all sets of reals are Lebesgue measurable) is equal to the set of all sets constructible from reals in a generic extension $\gM[\al]$ where $\al$ is a random real over $\gM.$ The proof involves an almost everywhere uniformization theorem in the Solovay model.

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Vladimir Kanovei, Michiel van Lambalgen. 1995-02-09. On a Spector ultrapower of the Solovay model. https://doi.org/10.1002/malq.19970430311

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