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.
Bibliographical noteFunding Information:
M. Golshani’s research has been supported by a grant from IPM (No. 971030417). Y. Hayut’s research has been supported by the FWF Lise Meitner Grant, 2650-N35.
© 2020 World Scientific Publishing Company.
- Aronszajn trees
- Generalized Suslin Hypothesis
- Tree specialization