Double weakness

S. Garti, S. Shelah

Research output: Contribution to journalArticlepeer-review


We prove that, consistently, there exists a weakly but not strongly inaccessible cardinal λ for which the sequence ⟨ 2 θ: θ< λ⟩ is not eventually constant and the weak diamond fails at λ.We also prove that consistently diamond fails but a parametrized version of weak diamond holds at some strongly inaccessible λ.

Original languageEnglish
Pages (from-to)379-391
Number of pages13
JournalActa Mathematica Hungarica
Issue number2
StatePublished - Apr 2021


  • Cohen forcing
  • Radin forcing
  • very weak diamond
  • weak diamond
  • weakly inaccessible

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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