New Sigma^1_3 facts

Mathematics – Logic

Scientific paper

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Scientific paper

We use ``iterated square sequences'' to show: There is an L-definable partition n: L-singulars --> omega such that if M is an inner model without 0#: (a) For some n, M satisfies that {alpha | n(alpha)=n} is stationary. (b) For each n there is a generic extension of M in which 0# does not exist and {alpha | n(alpha)

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