Cardinal characteristics at ℵω

S. Garti*, M. Gitik, S. Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations


We prove the consistency of uℵω<2ℵω. We also show that the consistency strength of this statement is the existence of a measurable cardinal κ with o(κ) = κ+ +.

Original languageAmerican English
Pages (from-to)320-336
Number of pages17
JournalActa Mathematica Hungarica
Issue number2
StatePublished - 1 Apr 2020

Bibliographical note

Publisher Copyright:
© 2019, Akadémiai Kiadó, Budapest, Hungary.


  • consistency strength
  • pcf theory
  • ultrafilter number


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