Forcing Magidor iteration over a core model below 0

Omer Ben-Neria*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We study the Magidor iteration of Prikry forcings, and the resulting normal measures on κ, the first measurable cardinal in a generic extension. We show that when applying the iteration to a core model below 0, then there exists a natural correspondence between the normal measures on κ in the ground model, and those of the generic extension.

Original languageAmerican English
Pages (from-to)367-384
Number of pages18
JournalArchive for Mathematical Logic
Issue number3-4
StatePublished - May 2014
Externally publishedYes


  • Core model
  • Magidor iteration
  • Normal measures
  • Prikry forcing


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