The epimorphism relation among countable groups is a complete analytic quasi‐order

Bulletin of the London Mathematical Society 2026 Open access

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Authors: Su Gao, Feng Li, André Nies, Gianluca Paolini
DOI: 10.1112/blms.70375
Cited by: 0

Abstract

Abstract We prove that the epimorphism relation is a complete analytic quasi‐order on the space of countable groups. In the process, we obtain the result of independent interest that the epimorphism relation on pointed reflexive graphs is complete.

Fields of Study & Subjects

Advanced Topology and Set Theory Advanced Operator Algebra Research Advanced Banach Space Theory

Publication details

Journal / source
Bulletin of the London Mathematical Society
Volume
58
Issue
5
Publication date
1 May 2026
Language
EN