Modified extender based forcing

Dima Sinapova, Spencer Unger

Research output: Contribution to journalArticlepeer-review


We analyze the modified extender based forcing from Assaf Sharon’s PhD thesis. We show there is a bad scale in the extension and therefore weak square fails. We also present two metatheorems which give a rough characterization of when a diagonal Prikry-type forcing forces the failure of weak square.

Original languageEnglish
Pages (from-to)1432-1443
Number of pages12
JournalJournal of Symbolic Logic
Issue number4
StatePublished - 1 Dec 2016
Externally publishedYes


  • Extender based forcing
  • Prikry forcing
  • Weak square


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