2 papers
math.GR2019
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…
math.LO2019
Uncountable structures are not classifiable up to bi-embeddability
Filippo Calderoni, Heike Mildenberger, Luca Motto Ros
Answering some of the main questions from [MR13], we show that whenever is a cardinal satisfying , then the embeddability relation between -sized structures…