On skew ultralimits and their applications in ultrafilter theory
Logic
2026-05-12 v1
Abstract
We define a special version of the ultralimit, called the skewed ultralimit. Using this tool, we show that the set of ultrafilter types in the -equivalence class of a Ramsey ultrafilter with the Rudin-Keisler order is isomorphic to the ultrapower of .
Keywords
Cite
@article{arxiv.2605.09714,
title = {On skew ultralimits and their applications in ultrafilter theory},
author = {Nikolai L. Poliakov},
journal= {arXiv preprint arXiv:2605.09714},
year = {2026}
}