Pantelis E. Eleftheriou

activity

20172020

most citedExpansions of real closed fields which introduce no new smooth functions

2 citations · 2 across the 2 of their papers we have counts for

collaborators

9 papers

math.LO2020

Groups definable in weakly o-minimal non-valuational structures

Pantelis E. Eleftheriou

Let $M$ be a weakly o-minimal non-valuational structure, and $N$ its canonical o-minimal extension (by Wencel). We prove that every group $G$ definable in $\mathc…

math.LO2020

Coincidence of dimensions in closed ordered differential fields

Pantelis E. Eleftheriou, Omar Leon Sanchez, Nathalie Regnault

Let $K = ⟨ R, δ ⟩$ be a closed ordered differential field, in the sense of M. Singer, and $C$ its field of constants. In this note, we prove that, for set…

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…