29 citations · 43 across the 29 of their papers we have counts for
4 papers · 1 filter
On the Model Theory of Open Incidence Structures: The Rank 2 Case
Gianluca Paolini, Davide Emilio Quadrellaro
Taking inspiration from [1, 21, 24], we develop a general framework to deal with the model theory of open incidence structures. In this first paper we focus on the study of systems…
-free abelian non-Archimedean Polish groups
Gianluca Paolini, Saharon Shelah
An uncountable -free group cannot admit a Polish group topology but an uncountable -free abelian group can, as witnessed, for example, by the Baer-Specker group…
Oligomorphic groups, their automorphism groups, and the complexity of their isomorphism
Gianluca Paolini, Andre Nies
The paper establishes results following two interconnected directions. 1. Let be a Roelcke precompact closed subgroup of the group of permutations of the natu…
Around first-order rigidity of Coxeter groups
Simon André, Gianluca Paolini
By the work of Sela, for any free group , the Coxeter group is elementarily equivalent to…