Regular embeddings of the stationary tower and Woodin's Σ22 maximality theorem
Richard Ketchersid, Paul B. Larson, and Jindřich Zapletal
Source: J. Symbolic Logic Volume 75, Issue 2
(2010), 711-727.
Abstract
We present Woodin's proof that if there exists a measurable Woodin cardinal δ, then there is a forcing extension satisfying all Σ22 sentences φ such that CH + φ holds in a forcing extension of V by a partial order in Vδ. We also use some of the techniques from this proof to show that if there exists a stationary limit of stationary limits of Woodin cardinals, then in a homogeneous forcing extension there is an elementary embedding j : V → M with critical point ω1V such that M is countably closed in the forcing extension.
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Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.jsl/1268917500
Digital Object Identifier: doi:10.2178/jsl/1268917500
Mathematical Reviews number (MathSciNet): MR2648161
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