English

Ultrafilters on omega

Logic 2008-02-03 v1

Abstract

A variety of classes of naturally arising ultrafilters on omega is discussed, and the question is raised whether it is consistent that the classes are empty. Since all the classes contain the P-point ultrafilters, a negative answer would greatly extend the famous theorem of Shelah.

Keywords

Cite

@article{arxiv.math/9311206,
  title  = {Ultrafilters on omega},
  author = {James E. Baumgartner},
  journal= {arXiv preprint arXiv:math/9311206},
  year   = {2008}
}