Cardinal characteristics at aleph omega

Abstract

We prove the consistency of the statement ${\mathfrak{u}}_{{\aleph }_{\omega }}<2^{{\aleph }_{\omega }}$. We show that the consistency strength of this statement is exactly a measurable cardinal $\mu$ so that $o(\mu )={\mu }^{++}$.

References in corpus (1)

• On the spectrum of characters of ultrafilters

Cited by in corpus (1)

• On configurations concerning cardinal characteristics at regular cardinals