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Stably Measurable Cardinals

Research output: Contribution to journalArticle

Original languageEnglish
JournalJournal of Symbolic Logic
DateAccepted/In press - 27 Nov 2019


We define a weak iterability notion that is sufficient for a number of arguments concerning Σ_1-definability at uncountable regular cardinals. In particular we give its exact consistency strength firstly in terms of the second uniform indiscernible for bounded subsets of kappa : u_2(kappa ), and secondly to give the consistency strength of a property of Lücke’s.

    Research areas

  • inner model, large cardinals, reflection principle



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