Constructibility real degrees in the side-by-side Sacks model
Logic
2026-02-09 v2
Abstract
We study the join-semilattice of constructibility real degrees in the side-by-side Sacks model, the model of set theory obtained by forcing with a countable-support product of infinitely many Sacks forcings over the constructible universe. In particular, we prove that in the side-by-side Sacks model the join-semilattice of constructibility real degrees is rigid, i.e. it does not have non-trivial automorphisms.
Keywords
Cite
@article{arxiv.2504.04902,
title = {Constructibility real degrees in the side-by-side Sacks model},
author = {Lorenzo Notaro},
journal= {arXiv preprint arXiv:2504.04902},
year = {2026}
}
Comments
18 pages