On the ideal J[κ]

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Abstract

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
Volume173
Issue number2
DOIs
StatePublished - Feb 2022

Bibliographical note

Publisher Copyright:
© 2021 Elsevier B.V.

Keywords

  • Souslin tree
  • square
  • xbox

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