The consistency strength of projective uniformization, revisited

Mathematics – Logic

Scientific paper

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Scientific paper

It is shown that if every projective set of reals is Lebesgue measurable and
has the property of Baire, if every projective set in the plane has a
projective uniformization, and if Steel's K exists, then J^K_{\omega_1} \models
"there are infinitely many strong cardinals." This is best possible, by a
recent result of Steel.

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