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A Groszek‐Laver pair of undistinguishable ‐classes
Abstract:A generic extension urn:x-wiley:09425616:media:malq201500020:malq201500020-math-0003 of the constructible universe urn:x-wiley:09425616:media:malq201500020:malq201500020-math-0004 by reals urn:x-wiley:09425616:media:malq201500020:malq201500020-math-0005 is defined, in which the union of urn:x-wiley:09425616:media:malq201500020:malq201500020-math-0006‐classes of x and y is a lightface urn:x-wiley:09425616:media:malq201500020:malq201500020-math-0007 set, but neither of these two urn:x-wiley:09425616:media:malq201500020:malq201500020-math-0008‐classes is separately ordinal‐definable.
Keywords:
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