6 citations · 10 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
Practical and Structural Infinitary Expansions
Nadav Meir, Aris Papadopoulos
Given a structure we introduce infinitary logic expansions, which generalise the Morleyisation. We show that these expansions are tame, in the sense that they preserve and refl…
Pseudo-finite sets, pseudo-o-minimality
Nadav Meir
We give an example of two ordered structures M, N in the same language L with the same universe, the same order and admitting the same one-variable definable subsets such that M is…
Infinite Lexicographic Products
Nadav Meir
We generalize the lexicographic product of first-order structures by presenting a framework for constructions which, in a sense, mimic iterating the lexicographic product infinitel…
On products of elementarily indivisible structures
Nadav Meir
We say a structure in a first-order language is indivisible if for every coloring of its universe in two colors, there is a monochromatic substructure of such that $M'…
Many symmetrically indivisible structures
Nadav Meir
A structure in a first-order language is \emph{indivisible} if for every coloring of in two colors, there is a monochromatic $\mathcal{M}^{\prime} \…