On gaps under GCH type assumptions

Moti Gitik*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalAnnals of Pure and Applied Logic
Issue number1-3
StatePublished - 15 Feb 2003


  • Extenders
  • Forcing
  • Pcf-theory


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