Journal of Symbolic Logic
- J. Symbolic Logic
- Volume 72, Issue 1 (2007), 138-158.
The nonstationary ideal in the ℛmax extension
The forcing construction ℛmax, invented by W. Hugh Woodin, produces a model whose collection of subsets of ω₁ is in some sense maximal. In this paper we study the Boolean algebra induced by the nonstationary ideal on ω₁ in this model. Among other things we show that the induced quotient does not have a simply definable form. We also prove several results about saturation properties of the ideal in this extension.
J. Symbolic Logic, Volume 72, Issue 1 (2007), 138-158.
First available in Project Euclid: 23 March 2007
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Larson, Paul B. The nonstationary ideal in the ℛ max extension. J. Symbolic Logic 72 (2007), no. 1, 138--158. doi:10.2178/jsl/1174668389. https://projecteuclid.org/euclid.jsl/1174668389