The extender algebra and $Σ^2_1$-absoluteness

Details The extender algebra and $Σ^2_1$-absoluteness The extender algebra and $Σ^2_1$-absoluteness

2010-05-23

arxiv.org/abs/1005.4193v2

Mathematics

Logic

Scientific paper

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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