Combinatorics atℵω

Annals of Pure and Applied Logic 165 (4):996-1007 (2014)

Abstract
We construct a model in which the singular cardinal hypothesis fails at ℵωℵω. We use characterizations of genericity to show the existence of a projection between different Prikry type forcings
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DOI 10.1016/j.apal.2013.12.001
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References found in this work BETA

Squares, Scales and Stationary Reflection.James Cummings, Matthew Foreman & Menachem Magidor - 2001 - Journal of Mathematical Logic 1 (01):35-98.
Set Theory.Thomas Jech - 1981 - Journal of Symbolic Logic.
Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.

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Citations of this work BETA

The Strong Tree Property and the Failure of SCH.Jin Du - forthcoming - Archive for Mathematical Logic:1-9.
On Singular Stationarity II.Omer Ben-Neria - 2019 - Journal of Symbolic Logic 84 (1):320-342.
Weak Squares and Very Good Scales.Maxwell Levine - 2018 - Journal of Symbolic Logic 83 (1):1-12.
Modified Extender Based Forcing.Dima Sinapova & Spencer Unger - 2016 - Journal of Symbolic Logic 81 (4):1432-1443.

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