The ultrafilter number for singular cardinals

Abstract

We prove the consistency of a singular cardinal $\lambda$ with small value of the ultrafilter number $u_{\lambda }$, and arbitrarily large value of $2^{\lambda }$.

8 pages

Cited by in corpus (4)

• Partition Calculus and Cardinal Invariants
• Cardinal characteristics at aleph omega
• On the spectrum of characters of ultrafilters
• A Galvin-Hajnal theorem for generalized cardinal characteristics