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math.CO2019
All those EPPA classes (Strengthenings of the Herwig-Lascar theorem)
Jan Hubička, Matěj Konečný, Jaroslav Nešetřil
In this paper we prove a general theorem showing the extension property for partial automorphisms (EPPA, also called the Hrushovski property) for classes of structures containing r…
math.CO2018
Semigroup-valued metric spaces
Matěj Konečný
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…
math.CO2018
Combinatorial Properties of Metrically Homogeneous Graphs
Matěj Konečný
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 and i…