Algebra Seminar talk
Spectra of Uniformity
The existence of uniform ultrafilters on infinite sets is predicated on the axiom of choice. We discuss some related results, and prove an Easton-like theorem showing the class of cardinals which carry uniform ultrafilters has very few provable properties without the axiom of choice.
This is a joint work with Yair Hayut, and can be found on https://arxiv.org/abs/1709.04824