A small ultrafilter number at all $\aleph_3\leqκ<\aleph_ω$
This note shows how recent work of Eskew and Hayut can be combined with a method of Raghavan and Shelah to show the consistency of $\mathfrak u_κ<2^κ$ for $\aleph_3\leq κ<\aleph_ω$, from a huge cardinal.
math.LO↗