On gaps under GCH type assumptions Original Research Article

We prove equiconsistency results concerning gaps between a singular strong limit cardinal κ of cofinality View the MathML source 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.