Pantelis E. Eleftheriou

activity

20112025

most citedInterpretable groups are definable

3 citations · 8 across the 13 of their papers we have counts for

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Showing 2018Show all

5 papers · 1 filter

math.LO2018★ 2 cited

Expansions of real closed fields which introduce no new smooth functions

Pantelis E. Eleftheriou, Alex Savatovsky

We prove the following theorem: let $R$ be an expansion of the real field $R$ , such that every definable set (I) is a uniform countable unio…

math.LO2018

Small sets in Mann pairs

Pantelis E. Eleftheriou

Let $M = ⟨ M, G ⟩$ be an expansion of a real closed field $M$ by a dense subgroup $G$ of $⟨ M^{> 0}, \cdot ⟩$ with the Man…

math.LO2018

Locally definable subgroups of semialgebraic groups

Elías Baro, Pantelis E. Eleftheriou, Ya'acov Peterzil

We prove the following instance of a conjecture stated in arXiv:1103.4770. Let $G$ be an abelian semialgebraic group over a real closed field $R$ and let $X$ be a semialgebraic sub…

math.LO2018

Strongly minimal groups in o-minimal structures

Pantelis Eleftheriou, Assaf Hasson, Ya'acov Peterzil

We prove Zilber's Trichotomy Conjecture for strongly minimal expansions of two-dimensional groups, definable in o-minimal structures: Theorem. Let M be an o-minimal expansion of a…

math.LO2018

Characterizing o-minimal groups in tame expansions of o-minimal structures

Pantelis E. Eleftheriou

We establish the first global results for groups definable in tame expansions of o-minimal structures. Let $N$ be an expansion of an o-minimal structure $M$ that…