Diagonal supercompact Radin forcing

Omer Ben-Neria, Chris Lambie-Hanson, Spencer Unger*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Motivated by the goal of constructing a model in which there are no κ-Aronszajn trees for any regular κ>ℵ1, we produce a model with many singular cardinals where both the singular cardinals hypothesis and weak square fail.

Original languageAmerican English
Article number102828
JournalAnnals of Pure and Applied Logic
Issue number10
StatePublished - Dec 2020

Bibliographical note

Funding Information:
This research was conducted while the second author was a Lady Davis Postdoctoral Fellow. The author would like to thank the Lady Davis Fellowship Trust and the Hebrew University of Jerusalem . The third author was partially supported by NSF DMS-1700425 . We would also like to thank the anonymous referee, who made a number of helpful corrections and suggestions that substantially improved the paper.

Publisher Copyright:
© 2020 Elsevier B.V.


  • Radin forcing
  • Supercompact cardinals
  • Weak square


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