English

Preserving Dependent Choice

Logic 2019-05-10 v3

Abstract

We prove some general theorems for preserving Dependent Choice when taking symmetric extensions, some of which are unwritten folklore results. We apply these to various constructions to obtain various simple consistency proofs.

Keywords

Cite

@article{arxiv.1810.11301,
  title  = {Preserving Dependent Choice},
  author = {Asaf Karagila},
  journal= {arXiv preprint arXiv:1810.11301},
  year   = {2019}
}

Comments

8 pages; updated and corrected bibliography references and additional typos

R2 v1 2026-06-23T04:53:38.316Z