On singular stationarity II (Tight stationarity and extenders-based methods)

Omer Ben-Neria*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We study the notion of tightly stationary sets which was introduced by Foreman and Magidor in [8]. We obtain two consistency results showing that certain sequences of regular cardinals {κ n }n ≤ ω can have the property that in some generic extension, every ground-model sequence of fixed-cofinality stationary sets S n ⊂ k n is tightly stationary. The results are obtained using variations of the short-extenders forcing method.

Original languageAmerican English
Pages (from-to)320-342
Number of pages23
JournalJournal of Symbolic Logic
Volume84
Issue number1
DOIs
StatePublished - 1 Mar 2019

Bibliographical note

Publisher Copyright:
© 2019 The Association for Symbolic Logic.

Keywords

  • Prikry forcing
  • extender forcing
  • singular cardinal
  • tight stationarity

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