Work

Mixed Identities for Oligomorphic Automorphism Groups

Year: 2025

Type: article

Abstract: We study mixed identities for oligomorphic automorphism groups of countable relational structures. Our main result gives sufficient conditions for such a group to not admit a mixed identity without particular constants. We study numerous examples and prove in many cases that there cannot be a non-singular mixed identity.

Source: Journal of Symbolic Logic

DOI: 10.1017/jsl.2025.10123

Authors: MANUEL BODIRSKY, JAKOB SCHNEIDER, ANDREAS THOM

Institution: Technische Universität Dresden

Language: English

Topic: Advanced Topology and Set Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,550

Funders: European Commission, Deutsche Forschungsgemeinschaft