English

Stable ordered-union versus selective ultrafilters

Logic 2023-10-24 v2 Combinatorics General Topology

Abstract

It will be shown to be consistent that there are at least two non-isomorphic selective ultrafilters, but no stable ordered-union ultrafilters. This answers a question of Blass from his 1987 paper which introduced the concept of a stable ordered-union ultrafilter.

Keywords

Cite

@article{arxiv.2302.05539,
  title  = {Stable ordered-union versus selective ultrafilters},
  author = {Dilip Raghavan and Juris Steprans},
  journal= {arXiv preprint arXiv:2302.05539},
  year   = {2023}
}

Comments

42 pages. Submitted. Minor revisions made

R2 v1 2026-06-28T08:37:29.307Z