Ultrafilters on singular cardinals of uncountable cofinality

James Cummings, Charles Morgan

Published 2019-07-26Version 1

We prove that consistently there is a singular cardinal $\kappa$ of uncountable cofinality such that $2^\kappa$ is weakly inaccessible, and every regular cardinal strictly between $\kappa$ and $2^\kappa$ is the character of some uniform ultrafilter on $\kappa$.