Short Extenders Forcings I

Journal of Mathematical Logic 12 (2):1250009 (2012)
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Abstract

The purpose of the present paper is to present new methods of blowing up the power of a singular cardinal κ of cofinality ω. New PCF configurations are obtained. The techniques developed here will be used in a subsequent paper to construct a model with a countable set which pcf has cardinality ℵ1.

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10.1142/s0219061312500092

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Citations of this work

On singular stationarity II.Omer Ben-Neria - 2019 - Journal of Symbolic Logic 84 (1):320-342.
Approachable free subsets and fine structure derived scales.Dominik Adolf & Omer Ben-Neria - 2024 - Annals of Pure and Applied Logic 175 (7):103428.
Short extenders forcings – doing without preparations.Moti Gitik - 2020 - Annals of Pure and Applied Logic 171 (5):102787.

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References found in this work

The Higher Infinite.Akihiro Kanamori - 2000 - Studia Logica 65 (3):443-446.
Blowing up power of a singular cardinal—wider gaps.Moti Gitik - 2002 - Annals of Pure and Applied Logic 116 (1-3):1-38.
On gaps under GCH type assumptions.Moti Gitik - 2003 - Annals of Pure and Applied Logic 119 (1-3):1-18.
No bound for the first fixed point.Moti Gitik - 2005 - Journal of Mathematical Logic 5 (02):193-246.

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