Open Access
2005 Adding Closed Unbounded Subsets of ω₂ with Finite Forcing
William J. Mitchell
Notre Dame J. Formal Logic 46(3): 357-371 (2005). DOI: 10.1305/ndjfl/1125409334

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.

Citation

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William J. Mitchell. "Adding Closed Unbounded Subsets of ω₂ with Finite Forcing." Notre Dame J. Formal Logic 46 (3) 357 - 371, 2005. https://doi.org/10.1305/ndjfl/1125409334

Information

Published: 2005
First available in Project Euclid: 30 August 2005

zbMATH: 1095.03038
MathSciNet: MR2162106
Digital Object Identifier: 10.1305/ndjfl/1125409334

Subjects:
Primary: 03E35
Secondary: 03E04

Keywords: approachability ideal , Mahlo cardinals , nonstationary ideal

Rights: Copyright © 2005 University of Notre Dame

Vol.46 • No. 3 • 2005
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