English

On ultrafilter construction

Logic 2025-09-18 v1

Abstract

We give a model-theoretic perspective on regular ultrafilter construction in the twentieth and twenty-first century (so far), and explain the "canonical Boolean algebra" recently developed by Malliaris and Shelah.

Keywords

Cite

@article{arxiv.2509.14068,
  title  = {On ultrafilter construction},
  author = {Maryanthe Malliaris},
  journal= {arXiv preprint arXiv:2509.14068},
  year   = {2025}
}
R2 v1 2026-07-01T05:42:06.252Z