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Universal homogeneous two-sorted ultrametric spaces
Adam Bartoš, Wiesław Kubiś, Aleksandra Kwiatkowska +1
We view ultrametric spaces as two-sorted structures consisting of a set of points and of a linearly ordered set of distances. We call the appropriate notion of embeddings distance-…
Generic dc-automorphisms of two-sorted ultrametric spaces
Adam Bartoš, Wiesław Kubiś, Aleksandra Kwiatkowska +1
We continue to study ultrametric spaces as two-sorted structures consisting of a set of points and of a linearly ordered set of distances, together with the dc-embeddings, which we…
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…
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…