Abstract
An ideal I on a Polish space X is said to be polar if I is the intersection of the null ideals for some family of Borel probability measures on X. We study polar ideals where the corresponding family of measures is analytic and the induced forcing of Borel sets modulo I is proper. We show that for a broad class of examples this property is closed under iterations, and that the universally measurable sets of the ground model reinterpret as universally measurable sets in the corresponding extensions.
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