A proof of the Borel completeness of torsion free abelian groups

2022/02/15 by M. Laskowski, Laskowski, Michael C., Douglas Ulrich +1
Mathematics · #03C25 #03E15 #20K20 #Advanced Topology and Set Theory #FOS: Mathematics #Group Theory (math.GR) #Logic (math.LO) #Mathematical Dynamics and Fractals #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2202.07452

openalex publication_date 2022/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A proof of the Borel completeness of torsion free abelian groups is presented. This proof differs considerably from the approach of Paolini-Shelah.

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