English

A Sacks indestructible co-analytic maximal eventually different family

Logic 2022-10-07 v1

Abstract

In the constructible universe, we construct a co-analytic maximal family of pairwise eventually different functions from N\mathbb{N} to N\mathbb{N} which remains maximal after adding arbitrarily many Sacks reals (by a countably supported iteration or product).

Keywords

Cite

@article{arxiv.1811.05574,
  title  = {A Sacks indestructible co-analytic maximal eventually different family},
  author = {Vera Fischer and David Schrittesser},
  journal= {arXiv preprint arXiv:1811.05574},
  year   = {2022}
}

Comments

20 pages

R2 v1 2026-06-23T05:14:41.718Z