3 citations · 13 across the 9 of their papers we have counts for
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Uncountable homogeneous structures
Adam Bartoš, Wiesław Kubiś
We study the existence of uncountable first-order structures that are homogeneous with respect to their finitely generated substructures. In many classical cases this is either wel…
Homogeneous isosceles-free spaces
Christian Bargetz, Adam Bartoš, Wiesław Kubiś +1
We study homogeneity aspects of metric spaces in which all triples of distinct points admit pairwise different distances; such spaces are called isosceles-free. In particular, we c…
The weak Ramsey property and extreme amenability
Adam Bartoš, Tristan Bice, Keegan Dasilva Barbosa +1
We extend the Kechris--Pestov--Todorčević correspondence to weak Fra\"ıssé categories and automorphism groups of generic objects. The new ingredient is the weak Ramsey property. We…