Combinatorics at ℵ ω

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Annals of Pure and Applied Logic 165 (4):996-1007 (2014)
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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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10.1016/j.apal.2013.12.001

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Citations of this work

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.
The strong tree property and the failure of SCH.Jin Du - 2019 - Archive for Mathematical Logic 58 (7-8):867-875.
Modified extender based forcing.Dima Sinapova & Spencer Unger - 2016 - Journal of Symbolic Logic 81 (4):1432-1443.

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References found in this work

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

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