On the relationship between mutual and tight stationarity

William Chen-Mertens, Itay Neeman

Research output: Contribution to journalArticlepeer-review


We construct a model where every increasing ω-sequence of regular cardinals carries a mutually stationary sequence which is not tightly stationary, and show that this property is preserved under a class of Prikry-type forcings. Along the way, we give examples in the Cohen and Prikry models of ω-sequences of regular cardinals for which there is a non-tightly stationary sequence of stationary subsets consisting of cofinality ω1 ordinals, and show that such stationary sequences are mutually stationary in the presence of interleaved supercompact cardinals.

Original languageEnglish
Article number102963
JournalAnnals of Pure and Applied Logic
Issue number7
StatePublished - 1 Jul 2021
Externally publishedYes


  • Mutual stationarity
  • Prikry type forcing
  • Singular cardinals

ASJC Scopus subject areas

  • Logic


Dive into the research topics of 'On the relationship between mutual and tight stationarity'. Together they form a unique fingerprint.

Cite this