3 papers
math.LO2025
Limit Semigroups with 2 Generators
Felipe Estrada, Alf Onshuus, David Rincon
In this paper we study the limit theory of numerical semigroups with two generators. We give a complete axiomatization in some cases.
math.LO2025
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.LO2025
Continuous isomorphisms between groups definable in o-minimal expansions of the real field
Alf Onshuus
In this paper we study the relation between the category of real Lie groups and that of groups definable in o-minimal expansions of the real field, which we will refer to as ``defi…