Y. Peterzil

collaborators

3 papers

math.LO2026

A note on uniform finiteness in weakly o-minimal theories

Yatir Halevi, Assaf Hasson, Ya'acov Peterzil

For an $ℵ_{0}$ -saturated weakly o-minimal expansion of an ordered group $M$ , it is shown that $M^{eq}$ has uniform finiteness if and only if the colle…

math.LO2025

Semisimple groups interpretable in various valued fields

Yatir Halevi, Assaf Hasson, Ya'acov Peterzil

We study infinite groups interpretable in power bounded $T$ -convex, $V$ -minimal or $p$ -adically closed fields. We show that if $G$ is an interpretable definably semisimple group (i…

math.LO2025

The infinitesimal subgroup of interpretable groups in some dp-minimal valued fields

Yatir Halevi, Assaf Hasson, Ya'acov Peterzil

We continue our local analysis of groups interpretable in various dp-minimal valued fields, as introduced in [8]. We associate with every infinite group $G$ interpretable in those…