Blowing up power of a singular cardinal—wider gaps

Annals of Pure and Applied Logic 116 (1-3):1-38 (2002)
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Abstract

The paper is concerned with methods for blowing power of singular cardinals using short extenders. Thus, for example, starting with κ of cofinality ω with {α<κ oα+n} cofinal in κ for every n<ω we construct a cardinal preserving extension having the same bounded subsets of κ and satisfying 2κ=κ+δ+1 for any δ<1

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10.1016/s0168-0072(01)00098-7

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Citations of this work

Diagonal Prikry extensions.James Cummings & Matthew Foreman - 2010 - Journal of Symbolic Logic 75 (4):1383-1402.
Rank-into-rank hypotheses and the failure of GCH.Vincenzo Dimonte & Sy-David Friedman - 2014 - Archive for Mathematical Logic 53 (3-4):351-366.
The Proper Forcing Axiom and the Singular Cardinal Hypothesis.Matteo Viale - 2006 - Journal of Symbolic Logic 71 (2):473 - 479.
Short Extenders Forcings I.Moti Gitik - 2012 - Journal of Mathematical Logic 12 (2):1250009.
On gaps under GCH type assumptions.Moti Gitik - 2003 - Annals of Pure and Applied Logic 119 (1-3):1-18.

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References found in this work

Extender based forcings.Moti Gitik & Menachem Magidor - 1994 - Journal of Symbolic Logic 59 (2):445-460.
Blowing up the power of a singular cardinal.Moti Gitik - 1996 - Annals of Pure and Applied Logic 80 (1):17-33.
On hidden extenders.Moti Gitik - 1996 - Archive for Mathematical Logic 35 (5-6):349-369.

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