English

Ultrafilters in Reverse Mathematics

Logic 2011-09-20 v1

Abstract

We extend theories of reverse mathematics by a non-principal ultrafilter, and show that these are conservative extensions of the usual theories ACA0, ATR0, and Pi11-Comprehension.

Keywords

Cite

@article{arxiv.1109.3902,
  title  = {Ultrafilters in Reverse Mathematics},
  author = {Henry Towsner},
  journal= {arXiv preprint arXiv:1109.3902},
  year   = {2011}
}
R2 v1 2026-06-21T19:06:43.553Z