Indiscernible pairs of countable sets of reals at a given projective level

Abstract

Using an invariant modification of Jensen's "minimal 12 singleton" forcing, we define a model of ZFC, in which, for a given n2, there exists a lightface 1n unordered pair of non-OD (hence, OD-indiscernible) countable sets of reals, but there is no 1n unordered pairs of this kind.

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