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Adding Closed Unbounded Subsets of ω₂ with Finite Forcing (2005)

Abstract
An outline is given of the proof that the consistency of a κ⁺-Mahlo cardinal implies that of the statement that I[ω₂] does not include any stationary subsets of Cof(ω₁). An additional discussion of the techniques of this proof includes their use to obtain a model with no ω₂-Aronszajn tree and to add an ω₂-Souslin tree with finite conditions.

Publication details
Download http://ProjectEuclid.org/getRecord?id=euclid.ndjfl/1125409334
Publisher University of Notre Dame
Repository Project Euclid (Hosted at Cornell University Library) (United States)
Keywords 03E35 (MSC2000), 03E04 (MSC2000), Mahlo cardinals, approachability ideal, nonstationary ideal
Type text
Language Englisch