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The canonical function game
Archive for Mathematical Logic 44 (7):817-827 (2005)
Abstract
The canonical function game is a game of length ω1 introduced by W. Hugh Woodin which falls inside a class of games known as Neeman games. Using large cardinals, we show that it is possible to force that the game is not determined. We also discuss the relationship between this result and Σ22 absoluteness, cardinality spectra and Π2 maximality for H(ω2) relative to the Continuum Hypothesis.Links
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Citations of this work
Some results about (+) proved by iterated forcing.Tetsuya Ishiu & Paul B. Larson - 2012 - Journal of Symbolic Logic 77 (2):515-531.
The stationary set splitting game.Paul B. Larson & Saharon Shelah - 2008 - Mathematical Logic Quarterly 54 (2):187-193.
ℙmax variations for separating club guessing principles.Tetsuya Ishiu & Paul B. Larson - 2012 - Journal of Symbolic Logic 77 (2):532-544.
References found in this work
The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal.W. Hugh Woodin - 2002 - Bulletin of Symbolic Logic 8 (1):91-93.
Canonical functions, non-regular ultrafilters and Ulam’s problem on ω1.Oliver Deiser & Dieter Donder - 2003 - Journal of Symbolic Logic 68 (3):713-739.
Bounding by canonical functions, with ch.Paul Larson & Saharon Shelah - 2003 - Journal of Mathematical Logic 3 (02):193-215.
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