Alf Onshuus

activity

20022025

most citedStabilizers, groups with f-generics in NTP2 and PRC fields

7 citations · 35 across the 21 of their papers we have counts for

collaborators

23 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.LO2024

Strongly minimal group relics of algebraically closed valued fields

Alf Onshuus, Assaf Hasson, Santiago Pinzon

We prove Zilber's trichotomy for reducts of ACVF expanding $(K, +)$ or $(K^{*}, \cdot)$ .

math.LO2023

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…

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.LO2021

Dependent finitely homogneneous rosy structures

Alf Onshuus, Pierre Simon

We study finitely homogeneous dependent rosy structures, adapting results of Cherlin, Harrington, and Lachlan proved for $ω$ -stable $ω$ -categorical structures. In particular, we pr…

math.LO2021

Real Lie groups and o-minimality

Annalisa Conversano, Alf Onshuus, Sacha Post

We characterize, up to Lie isomorphism, the real Lie groups that are definable in an o-minimal expansion of the real field.