We investigate Ramsey expansions, the coherent extension property for partial isometries (EPPA), and the existence of a stationary independence relation for all classes of metrically …
M Konečný - arXiv preprint arXiv:1810.08963, 2018 - arxiv.org
The structural Ramsey theory is a field on the boundary of combinatorics and model theory with deep connections to topological dynamics. Most of the known Ramsey classes in finite …
We prove EPPA (extension property for partial automorphisms) for all antipodal classes from Cherlin's list of metrically homogeneous graphs, thereby answering a question of Aranda et …
M Konečný - arXiv preprint arXiv:1805.07425, 2018 - arxiv.org
Ramsey theory looks for regularities in large objects. Model theory studies algebraic structures as models of theories. The structural Ramsey theory combines these two fields …
Tent and Ziegler proved that the automorphism group of the Urysohn sphere is simple and that the automorphism group of the Urysohn space is simple modulo bounded …
In a recent paper by a superset of the authors it was proved that for every primitive 3- constrained space $\Gamma $ of finite diameter $\delta $ from Cherlin's catalogue of …