3 citations · 18 across the 17 of their papers we have counts for
21 papers
Finite central extensions of o-minimal groups
Elías Baro, Daniel Palacín
We answer in the affirmative a conjecture of Berarducci, Peterzil and Pillay \cite{BPP10} for solvable groups, which is an o-minimal version of a particular case of Milnor's isomor…
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…
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…
Spectral maps associated to semialgebraic branched coverings
E. Baro, Jose F. Fernando, J. M. Gamboa
In this article we prove that a semialgebraic map is a branched covering if and only if its associated spectral map is a branched covering. In addition, such spectral map has a nea…
Rings of differentiable semialgebraic functions
E. Baro, José F. Fernando, J. M. Gamboa
In this work we analyze the main properties of the Zariski and maximal spectra of the ring of differentiable semialgebraic functions of class o…
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 be an abelian semialgebraic group over a real closed field and let be a semialgebraic sub…