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 2017Show all

4 papers · 1 filter

math.LO2017

The Choice Property in tame expansions of o-minimal structures

Pantelis E. Eleftheriou, Ayhan Günaydın, Philipp Hieronymi

We establish the choice property, a weak analogue of definable choice, for certain tame expansions of o-minimal structures. Most noteworthily, dense pairs of real closed fields hav…

math.LO2017

Product cones in dense pairs

Pantelis E. Eleftheriou

Let $M = ⟨ M, <, +, \dots ⟩$ be an o-minimal expansion of an ordered group, and $P \subseteq M$ a dense set such that certain tameness conditions hold. We introduc…

math.LO2017

Counting algebraic points in expansions of o-minimal structures by a dense set

Pantelis E. Eleftheriou

The Pila-Wilkie theorem states that if a set $X \subseteq R^{n}$ is definable in an o-minimal structure $R$ and contains `many' rational points, then it contains an i…

math.LO2017

Small sets in dense pairs

Pantelis E. Eleftheriou

Let $M = ⟨ M, P ⟩$ be an expansion of an o-minimal structure $M$ by a dense set $P \subseteq M$ , such that three tameness conditions…