Extender-based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis

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Abstract

Extender-based Prikry-Magidor forcing for overlapping extenders is introduced. As an application, models with strong forms of negations of the Shelah Weak Hypothesis for various cofinalities are constructed.

Original languageEnglish
Article number2050013
JournalJournal of Mathematical Logic
Volume20
Issue number3
DOIs
StatePublished - Dec 2020

Keywords

  • Shelah Weak Hypothesis
  • extender based forcing
  • overlapping extenders

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