On singular stationarity I (mutual stationarity and ideal-based methods)

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We study several ideal-based constructions in the context of singular stationarity. By combining methods of strong ideals, supercompact embeddings, and Prikry-type posets, we obtain three consistency results concerning mutually stationary sets, and answer a well-known question of Foreman and Magidor ([7]) concerning stationary sequences on the first uncountable cardinals, ℵn, 1≤n<ω.

Original languageAmerican English
Article number106790
JournalAdvances in Mathematics
StatePublished - 7 Nov 2019

Bibliographical note

Publisher Copyright:
© 2019 Elsevier Inc.


  • Ideals
  • Mutually stationary
  • Prikry type forcing
  • Singular cardinal
  • Stationary sets


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