English

Stranger Things about Forcing without AC

Logic 2020-05-26 v3

Abstract

Typically, set theorists reason about forcing constructions in the context of ZFC. We show that without AC, several simple properties of forcing posets fail to hold, one of which answers Miller's question from arXiv:0704.3998.

Cite

@article{arxiv.1706.01708,
  title  = {Stranger Things about Forcing without AC},
  author = {Martin Goldstern and Lukas Daniel Klausner},
  journal= {arXiv preprint arXiv:1706.01708},
  year   = {2020}
}

Comments

5 pages

R2 v1 2026-06-22T20:10:23.313Z