Jordan permutation groups and limits of D-relations

preprint2020arXivOpen access

Abstract

We construct via Fraïssé amalgamation an ωω-categorical structure whose automorphism group is an infinite oligomorphic Jordan primitive permutation group preserving a `limit of DD-relations'. The construction is based on a semilinear order whose elements are labelled by sets carrying a DD-relation, with strong coherence conditions governing how these DD-sets are inter-related.

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