English

Tall $F_\sigma$ subideals of tall analytic ideals

Logic 2020-09-30 v1

Abstract

Answering a question of Hru\v{s}\'ak, we show that every analytic tall ideal on ω\omega contains an FσF_\sigma tall ideal. We also give an example of an FσF_\sigma tall ideal without a Borel selector.

Keywords

Cite

@article{arxiv.2009.13686,
  title  = {Tall $F_\sigma$ subideals of tall analytic ideals},
  author = {Jan Grebík and Zoltán Vidnyánszky},
  journal= {arXiv preprint arXiv:2009.13686},
  year   = {2020}
}