5 papers
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…
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…
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…
Rings of finite Morley rank without the canonical base property
Michael Loesch, Daniel Palacín
We present numerous natural algebraic examples without the so-called Canonical Base Property (CBP). We prove that every commutative unitary ring of finite Morley rank without finit…
Spectral Spaces in o-minimal and other NIP theories
Elías Baro, José F. Fernando, Daniel Palacín
We study some model-theoretic notions in NIP by means of spectral topology. In the o-minimal setting we relate the o-minimal spectrum with other topological spaces such as the real…