On the ideal J[κ]

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Motivated by a question from a recent paper by Gilton, Levine and Stejskalová, we obtain a new characterization of the ideal J[κ], from which we confirm that κ-Souslin trees exist in various models of interest. As a corollary we get that for every integer n such that b<2n=ℵn+1, if □(ℵn+1) holds, then there exists an ℵn+1-Souslin tree.

Original languageEnglish
Article number103055
JournalAnnals of Pure and Applied Logic
Issue number2
StatePublished - Feb 2022

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© 2021 Elsevier B.V.


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