Article contents
Increasing δ21 and Namba-style forcing
Published online by Cambridge University Press: 12 March 2014
Abstract
We isolate a forcing which increases the value of while preserving ω1 under the assumption that there is a precipitous ideal on ω1 and a measurable cardinal.
- Type
- Research Article
- Information
- Copyright
- Copyright © Association for Symbolic Logic 2007
References
REFERENCES
[1]Foreman, Matthew, Magidor, Menachem, and Shelah, Saharon, Martins Maximum, saturated ideals, and non-regular ultrafilters I, Annals of Mathematics, vol. 127 (1988), pp. 1–47.CrossRefGoogle Scholar
[3]Jech, Thomas, Magidor, Menachem, Mitchell, William, and Prikry, Karel, Precipitous ideals, this Journal, vol. 45 (1980), pp. 1–8.Google Scholar
[5]Namba, Kanji, Independence proof of a distributive law in complete Boolean algebras, Commentarii Mathematici Universitatis Sancti Pauli, vol. 19 (1970), pp. 1–12.Google Scholar
[6]Woodin, Hugh, The axiom of determinacy, forcing axioms and the nonstationary ideal, Walter de Gruyter, New York, 1999.CrossRefGoogle Scholar
[7]Zapletal, Jindřich, The nonstationary ideal and the other sigma-ideals on omega one, Transactions of the American Mathematical Society, vol. 352 (2000), pp. 3981–3993.CrossRefGoogle Scholar
[8]Zapletal, Jindřich, Forcing idealized, Cambridge University Press, 2007, to appear.Google Scholar
- 2
- Cited by