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.
|Number of pages||18|
|Journal||Annals of Pure and Applied Logic|
|State||Published - 15 Feb 2003|