29 citations · 43 across the 29 of their papers we have counts for
4 papers · 1 filter
First-Order Model Theory of Free Projective Planes
Tapani Hyttinen, Gianluca Paolini
We prove that the theory of open projective planes is complete and strictly stable, and infer from this that Marshall Hall's free projective planes are al…
Some Results on Polish Groups
Gianluca Paolini, Saharon Shelah
We prove that no quantifier-free formula in the language of group theory can define the -half graph in a Polish group, thus generalising some results from [6]. We then po…
On a Cardinal Invariant Related to the Haar Measure Problem
Gianluca Paolini, Saharon Shelah
In [6], given a metrizable profinite group , a cardinal invariant of the continuum was introduced, and a positive solution to the Haar Measure Problem for …
Invariant universality for projective planes
Filippo Calderoni, Gianluca Paolini
We continue the work of [1, 2, 3] by analyzing the equivalence relation of bi-embeddability on various classes of countable planes, most notably the class of countable non-Desargue…