English

Definable maximal cofinitary groups

Logic 2016-03-10 v1

Abstract

Using countable support iteration of SS-proper posets, for some appropriate stationary set SS, we obtain a generic extension of the constructible universe, in which b=c=2\mathfrak{b}=\mathfrak{c}=\aleph_2 and there is a maximal cofinitary group with a Π21\Pi^1_2-definable set of generators.

Keywords

Cite

@article{arxiv.1603.02942,
  title  = {Definable maximal cofinitary groups},
  author = {Vera Fischer and Sy David Friedman and Asger Törnquist},
  journal= {arXiv preprint arXiv:1603.02942},
  year   = {2016}
}
R2 v1 2026-06-22T13:07:21.073Z