English

Rapid ultrafilters and summable ideals

Logic 2012-08-21 v1

Abstract

This note answers the following question: Is it consistent that for an arbitrary tall summable ideal I_g there exists an I_g-ultrafilter which is not rapid? We show that assuming Martin's Axiom for \sigma-centered posets such ultrafilters exist for each tall summable ideal I_g.

Keywords

Cite

@article{arxiv.1208.3690,
  title  = {Rapid ultrafilters and summable ideals},
  author = {Jana Flašková},
  journal= {arXiv preprint arXiv:1208.3690},
  year   = {2012}
}
R2 v1 2026-06-21T21:52:21.402Z