On gaps under GCH type assumptions

Moti Gitik

doi:10.1016/S0168-0072(02)00031-3

On gaps under GCH type assumptions

Moti Gitik

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

We prove equiconsistency results concerning gaps between a singular strong limit cardinal κ of cofinality א₀ and its power under assumptions that 2^κ = 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.

Original language	English
Pages (from-to)	1-18
Number of pages	18
Journal	Annals of Pure and Applied Logic
Volume	119
Issue number	1-3
DOIs	https://doi.org/10.1016/S0168-0072(02)00031-3
State	Published - 15 Feb 2003

Keywords

Extenders
Forcing
Pcf-theory

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10.1016/S0168-0072(02)00031-3

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abstract = "We prove equiconsistency results concerning gaps between a singular strong limit cardinal κ of cofinality א0 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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AB - We prove equiconsistency results concerning gaps between a singular strong limit cardinal κ of cofinality א0 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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KW - Forcing

KW - Pcf-theory

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JF - Annals of Pure and Applied Logic

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ER -

On gaps under GCH type assumptions

Abstract

Keywords

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