Increasing δ21 and Namba-style forcing

Author:

Ketchersid Richard,Larson Paul,Zapletal Jindřich

Abstract

AbstractWe 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.

Publisher

Cambridge University Press (CUP)

Subject

Logic,Philosophy

Reference8 articles.

1. The nonstationary ideal and the other 𝜎-ideals on 𝜔₁

2. Independence proof of a distributive law in complete Boolean algebras;Namba;Commentarii Mathematici Universitatis Sancti Pauli,1970

3. Martin's Maximum, Saturated Ideals, and Non-Regular Ultrafilters. Part I

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1. Preservation theorems for Namba forcing;Annals of Pure and Applied Logic;2021-02

2. On Countable Stationary Towers;Springer Proceedings in Mathematics & Statistics;2021

3. IDEAL PROJECTIONS AND FORCING PROJECTIONS;The Journal of Symbolic Logic;2014-12

4. Woodin's axiom (*), bounded forcing axioms, and precipitous ideals on ω1;The Journal of Symbolic Logic;2012-06

5. Increasing u2 by a stationary set preserving forcing;The Journal of Symbolic Logic;2009-03

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