On a Spector ultrapower of the Solovay model

Details On a Spector ultrapower of the Solovay model On a Spector ultrapower of the Solovay model

1995-02-09

arxiv.org/abs/math/9502205v1

Mathematics

Logic

Scientific paper

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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