3 papers
math.LO2023
Generalised Indiscernibles, Dividing Lines, and Products of Structures
Nadav Meir, Aris Papadopoulos, Pierre Touchard
Generalised indiscernibles highlight a strong link between model theory and structural Ramsey theory. In this paper, we use generalised indiscernibles as tools to prove results in…
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…
math.CO2023
All These Approximate Ramsey Properties
Nadav Meir, Aris Papadopoulos
We consider finitary approximations of the (embedding) Ramsey property. Using a class of homogeneous reducts of random ordered hypergraphs, we prove that these properties form a st…