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math.LO2025
Group-extensive embeddings into Fraïssé structures and stationary weak independence relations
Aleksandra Kwiatkowska, Rob Sullivan, Jeroen Winkel
Let be a Fraïssé structure (a countably infinite ultrahomogeneous structure). We call an embedding group-extensive if each automorphism of its image extends to an…
math.LO2025
Embeddings into the generic poset
Aleksandra Kwiatkowska, Rob Sullivan, Jeroen Winkel
Let M be the generic poset, defined as the Fraïssé limit of the class of finite posets. We show that every countably infinite poset A can be embedded with coinfinite image into M s…
math.LO2023
The externally definable Ramsey property and fixed points on type spaces
Nadav Meir, Rob Sullivan
We discuss the externally definable Ramsey property, a weakening of the Ramsey property for ultrahomogeneous structures, where the only colourings considered are those that are ext…