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arxiv: 1610.02352 · v1 · pith:YFILQYC3new · submitted 2016-10-07 · 🧮 math.LO

Lightface mice with finitely many Woodin cardinals from optimal determinacy hypotheses

classification 🧮 math.LO
keywords determinacylightfaceomegaboldfaceboldsymbolcardinalsdeltaexistence
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The determinacy of lightface $\Delta^1_{2n+2}$ and boldface $\boldsymbol{\Pi}^1_{2n+1}$ sets implies the existence of an $(\omega, \omega_1)$-iterable $M_{2n+1}^{\#}$.

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