Scales at אω

Dima Sinapova*, Spencer Unger

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We show that it is consistent relative to a supercompact cardinal that $${N_\omega }$$ is a strong limit, $${2^{{N_\omega }}} = {N_{\omega + 2}}$$ and $${\square _{{N_\omega },{N_n}}}$$ fails for all n < ω. This gives a partial answer to an old question of Woodin about the consistency of failure of SCH and failure of weak square.

Original languageEnglish
Pages (from-to)463-486
Number of pages24
JournalIsrael Journal of Mathematics
Issue number1
StatePublished - 1 Sep 2015
Externally publishedYes


Dive into the research topics of 'Scales at אω'. Together they form a unique fingerprint.

Cite this