2025/02/06 by Amador Martín-Pizarro, Martin-Pizarro, Amador, Daniel Palacín +1
Mathematics · #Analytic Number Theory Research #Advanced Topology and Set Theory #Limits and Structures in Graph Theory
paper · pdf · doi:10.48550/arxiv.2502.03915
In this short note, we present a self-contained exposition of the supersimplicity of certain expansions of the additive group of the integers, such as adding a generic predicate (due to Chatzidakis and Pillay), a predicate for the square-free integers (due to Bhardwaj and Tran) or a predicate for the prime integers (due to Kaplan and Shelah, assuming Dickson's conjecture).