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arxiv: 1005.4193 · v3 · pith:PBPRGT7Unew · submitted 2010-05-23 · 🧮 math.LO

The extender algebra and Sigma²₁-absoluteness

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keywords absolutenesswoodinalgebraexistenceextenderproofsigmaaccount
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We present a self-contained account of Woodin's extender algebra and its use in proving absoluteness results, including a proof of the $\Sigma^2_1$-absoluteness theorem. We also include a proof that the existence of an inner model with Woodin limit of Woodin cardinals implies the existence of divergent models of $\AD^+$.

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