3 papers
math.LO2022
Definably amenable groups in Continuous logic
Juan Felipe Carmona, Alf Onshuus
We introduce the notions of definable amenability and extreme definable amenability for groups in continuous structures and conduct an extensive analysis of them, drawing parallels…
math.LO2018
Supersimple structures with a dense independent subset
Alexander Berenstein, Juan Felipe Carmona, Evgueni Vassiliev
Based on the work done in \cite{BV-Tind,DMS} in the o-minimal and geometric settings, we study expansions of models of a supersimple theory with a new predicate distiguishing a set…
math.LO2017
A fixed-point theorem for definably amenable groups
Juan Felipe Carmona, Kevin Dávila, Alf Onshuus +1
We prove an analogue of the fixed-point theorem for the case of definably amenable groups.