3 papers
math.LO2025
Supersimplicity and arithmetic progressions
Amador Martin-Pizarro, Daniel Palacín
The main motivation for this article is to explore the connections between the existence of certain combinatorial patterns (as in van der Corputs's theorem on arithmetic progressio…
math.LO2025
An exposition on the supersimplicity of certain expansions of the additive group of the integers
Amador Martin-Pizarro, Daniel Palacín
In this short note, we present a self-contained exposition of the supersimplicity of certain expansions of the additive group of the integers, such as adding a generic predicate (d…
math.LO2023
Ellis enveloping semigroups in real closed fields
Elías Baro, Daniel Palacín
We introduce the Boolean algebra of d-semialgebraic (more generally, d-definable) sets and prove that its Stone space is naturally isomorphic to the Ellis enveloping semigroup of t…