9 citations · 26 across the 15 of their papers we have counts for
4 papers · 1 filter
The isomorphism problem for finitely generated bi-orderable groups
Filippo Calderoni, Adam Clay
We analyze the classification problem for finitely generated orderable groups from the viewpoint of descriptive set theory. We analyze the standard Borel space of finitely generate…
Condensation and left-orderable groups
Filippo Calderoni, Adam Clay
We discuss condensed left-orderings and develop new techniques to show that the conjugacy relation on the space of left-orderings is not smooth. These techniques apply to the solva…
Borel structures on the space of left-orderings
Filippo Calderoni, Adam Clay
In this paper we study the Borel structure of the space of left-orderings of a group modulo the natural conjugacy action, and by using tools from descriptive s…
Simplicity of the automorphism groups of order and tournament expansions of homogeneous structures
Filippo Calderoni, Aleksandra Kwiatkowska, Katrin Tent
We define the notions of a free fusion of structures and a weakly stationary independence relation. We apply these notions to prove simplicity for the automorphism groups of order…