The special Aronszajn tree property

Mohammad Golshani, Yair Hayut*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Assuming the existence of a proper class of supercompact cardinals, we force a generic extension in which, for every regular cardinal κ, there are κ+-Aronszajn trees, and all such trees are special.

Original languageAmerican English
Article number2050003
JournalJournal of Mathematical Logic
Issue number1
StatePublished - 1 Apr 2020
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2020 World Scientific Publishing Company.


  • Aronszajn trees
  • Generalized Suslin Hypothesis
  • Tree specialization


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