Constructibility real degrees in the side-by-side Sacks model

Annals of Pure and Applied Logic 2026 Open access

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Authors: Lorenzo Notaro
DOI: 10.1016/j.apal.2026.103722
Cited by: 0
References: 19

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.

Fields of Study & Subjects

Advanced Topology and Set Theory Computability Logic AI Algorithms Economic theories and models

Publication details

Journal / source
Annals of Pure and Applied Logic
Publisher
Elsevier BV
Volume
177
Issue
5
Pages
103722–103722
Publication date
8 January 2026
Language
EN