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
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
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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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