On gaps under GCH type assumptions

Annals of Pure and Applied Logic 119 (1-3):1-18 (2003)
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Abstract

We prove equiconsistency results concerning gaps between a singular strong limit cardinal κ of cofinality 0 and its power under assumptions that 2κ=κ+δ+1 for δ<κ and some weak form of the Singular Cardinal Hypothesis below κ. Together with the previous results this basically completes the study of consistency strength of the various gaps between such κ and its power under GCH type assumptions below

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10.1016/s0168-0072(02)00031-3

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Citations of this work

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References found in this work

The negation of the singular cardinal hypothesis from o(K)=K++.Moti Gitik - 1989 - Annals of Pure and Applied Logic 43 (3):209-234.
Shelah's pcf theory and its applications.Maxim R. Burke & Menachem Magidor - 1990 - Annals of Pure and Applied Logic 50 (3):207-254.
The strenght of the failure of the singular cardinal hypothesis.Moti Gitik - 1991 - Annals of Pure and Applied Logic 51 (3):215-240.
Blowing up power of a singular cardinal—wider gaps.Moti Gitik - 2002 - Annals of Pure and Applied Logic 116 (1-3):1-38.

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